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## Roberts, Fred S.

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 Author ID: roberts.fred-s Published as: Roberts, F. S.; Roberts, Fred; Roberts, Fred S. External Links: MGP · Wikidata · GND
 Documents Indexed: 148 Publications since 1967, including 23 Books
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#### Co-Authors

 52 single-authored 12 Fishburn, Peter Clingerman 10 Kim, Suh-Ryung 8 McMorris, Frederick R. 7 Cozzens, Margaret Barry 7 Sheng, Li 4 Mahadev, N. V. R. 4 Rosenbaum, Zangwill 4 Xu, Yonghua 3 MacKee, Terry Allan 3 Mirkin, Boris G. 3 Opsut, Robert J. 3 Pekeč, Aleksandar Saša 2 Aczél, János Dezső 2 Baker, Kirby A. 2 Hansen, Pierre 2 Isaak, Garth T. 2 Janowitz, Melvin F. 2 Jones, Kathryn Fraughnaugh 2 Lundgren, J. Richard 2 Marcus-Roberts, Helen M. 2 Mulder, Henry Martyn 2 Seager, Suzanne M. 2 Spencer, Joel H. 2 Tesman, Barry A. 1 Barthelemy, Jean-Pierre 1 Beals, Richard W. 1 Berestycki, Henri 1 Bona, Jerry Lloyd 1 Brafman, Ronen I. 1 Brams, Steven J. 1 Brézis, Haïm 1 Brown, Thomas A. 1 Chanillo, Sagun 1 Chen, Rong 1 Cheng, Jerry Q. 1 Cohen, Amy 1 de Werra, Dominique 1 Dowling, Cornelia E. 1 Dreyer, Paul A. jun. 1 Fajtlowicz, Siemion 1 Fang, Weiwu 1 Farach-Colton, Martin 1 Fowler, Patrick W. 1 Franke, Charles H. 1 Franzblau, Deborah S. 1 Gehrlein, William V. 1 Graham, Ronald Lewis 1 Harary, Frank 1 Harvey, Lawrence 1 Hefner, Kim A. S. 1 Hell, Pavol 1 Hudry, Olivier 1 Hwang, Frank Kwangming 1 Kaper, Hans G. 1 Kratochvíl, Jan 1 Lapointe, François-Joseph 1 Lebowitz, Joel Louis 1 Lucas, William F. 1 Luce, Robert Duncan 1 Ma, Zhengrong 1 Madigan, David 1 Mastrian, Barbara 1 Mawhin, Jean L. 1 Mittal, Sushil Kumar 1 Monma, Clyde L. 1 Nešetřil, Jaroslav 1 Nirenberg, Louis 1 Norman, Robert Z. 1 Nussbaum, Roger David 1 Odlyzko, Andrew M. 1 Ogden, William F. 1 Piazza, Barry L. 1 Poljak, Svata 1 Raychaudhuri, Arundhati 1 Ringeisen, Richard D. 1 Roberts, David L. 1 Rosenstein, Joseph G. 1 Rzhetsky, Andrey 1 Steif, Jeffrey E. 1 Stueckle, Sam K. 1 Suppes, Patrick 1 Teman, Roger 1 Theuns, Peter 1 Thrall, Robert McDowell 1 Tsoukiàs, Alexis 1 Vingron, Martin 1 Wang, Chi 1 Waterman, Michael S. 1 Xie, Minge 1 Xu, Shaoji
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#### Serials

 21 Discrete Applied Mathematics 8 Networks 8 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 6 Journal of Mathematical Psychology 6 Mathematical Social Sciences 4 Journal of Combinatorics, Information & System Sciences 4 SIAM Journal on Discrete Mathematics 3 Mathematical and Computer Modelling 2 Journal of Mathematical Analysis and Applications 2 The Annals of Probability 2 Ars Combinatoria 2 Journal of Combinatorial Theory. Series B 2 Synthese 2 Theory and Decision 2 Linear Algebra and its Applications 2 Congressus Numerantium 2 Annals of the New York Academy of Sciences 2 Encyclopedia of Mathematics and Its Applications 1 American Mathematical Monthly 1 Discrete Mathematics 1 Bulletin of Mathematical Biology 1 The Fibonacci Quarterly 1 Information Sciences 1 Journal of the American Statistical Association 1 Mathematics of Operations Research 1 Naval Research Logistics 1 Notre Dame Journal of Formal Logic 1 Operations Research 1 European Journal of Combinatorics 1 SIAM Journal on Algebraic and Discrete Methods 1 Graphs and Combinatorics 1 Journal of the Ramanujan Mathematical Society 1 Annals of Operations Research 1 SIAM Journal on Applied Mathematics 1 Notices of the American Mathematical Society 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Computer Science 1 Methods of Operations Research 1 The College Mathematics Journal 1 Mathematics of Planet Earth 1 Scientific Psychology Series 1 Studies in Choice and Welfare
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#### Fields

 82 Combinatorics (05-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Biology and other natural sciences (92-XX) 18 Operations research, mathematical programming (90-XX) 17 General and overarching topics; collections (00-XX) 11 Information and communication theory, circuits (94-XX) 9 Computer science (68-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 4 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 3 Number theory (11-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

120 Publications have been cited 1,832 times in 1,242 Documents Cited by Year
Indifference graphs. Zbl 0193.24205
Roberts, F. S.
1969
Measurement theory with applications to decisionmaking, utility, and the social sciences. Zbl 0432.92001
Roberts, Fred S.
1979
Discrete mathematical models with applications to social, biological, and environmental problems. Zbl 0363.90002
Roberts, Fred S.
1976
On the boxicity and cubicity of a graph. Zbl 0193.24301
Roberts, F. S.
1969
Graph theory and its applications to problems of society. Zbl 0452.05001
Roberts, Fred S.
1978
Irreversible $$k$$-threshold processes: Graph-theoretical threshold models of the spread of disease and of opinion. Zbl 1163.92035
Dreyer, Paul A. jun.; Roberts, Fred S.
2009
Partial orders of dimension 2. Zbl 0247.06002
Baker, K. A.; Fishburn, P. C.; Roberts, F. S.
1972
$$T$$-colorings of graphs: recent results and open problems. Zbl 0751.05042
Roberts, Fred S.
1991
Applied combinatorics. Zbl 0547.05001
Roberts, Fred S.
1984
Food webs, competition graphs, and the boxicity of ecological phase space. Zbl 0389.90036
Roberts, Fred S.
1978
Axiomatic thermodynamics and extensive measurement. Zbl 0174.55801
Roberts, Fred S.; Luce, R. Duncan
1968
A characterization of clique graphs. Zbl 0215.05801
Roberts, Fred S.; Spencer, Joel H.
1971
The median procedure on median graphs. Zbl 0906.05023
McMorris, F. R.; Mulder, Henry Martyn; Roberts, Fred S.
1998
On scientific laws without dimensional constants. Zbl 0605.39004
Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill
1986
On the compatibility between a graph and a simple order. Zbl 0177.27003
Roberts, F. S.
1971
Computing the boxicity of a graph by covering its complement by cointerval graphs. Zbl 0524.05059
Cozzens, Margaret B.; Roberts, Fred S.
1983
Applications of edge coverings by cliques. Zbl 0558.05046
Roberts, Fred S.
1985
Characterizations of the plurality function. Zbl 0791.90009
Roberts, Fred S.
1991
Homogeneous families of semiorders and the theory of probabilistic consistency. Zbl 0223.92017
Roberts, Fred S.
1971
Generalized competition graphs and their applications. Zbl 0572.05050
Raychaudhuri, Arundhati; Roberts, Fred S.
1985
On the possible merging functions. Zbl 0675.90005
Aczél, János; Roberts, Fred S.
1989
No-hole $$L(2,1)$$-colorings. Zbl 1032.05046
Fishburn, Peter C.; Roberts, Fred S.
2003
On nontransitive indifference. Zbl 0205.49102
Roberts, F. S.
1970
Full color theorems for $$L(2,1)$$-colorings. Zbl 1116.05027
Fishburn, Peter C.; Roberts, Fred S.
2006
From garbage to rainbows: Generalizations of graph coloring and their applications. Zbl 0841.05033
Roberts, Fred S.
1991
A characterization of competition graphs of arbitrary digraphs. Zbl 0521.05059
Roberts, Fred S.; Steif, Jeffrey E.
1983
On the fleet maintenance, mobile radio frequency, task assignment, and traffic phasing problems. Zbl 0471.05032
Opsut, R. J.; Roberts, F. S.
1981
Scale type, meaningfulness, and the possible psychophysical laws. Zbl 0633.92022
Roberts, Fred S.; Rosenbaum, Zangwill
1986
The center function on trees. Zbl 0990.90063
McMorris, F. R.; Roberts, Fred S.; Wang, Chi
2001
On the optimal strongly connected orientations of city street graphs. I: Large grids. Zbl 0658.05033
Roberts, Fred S.; Xu, Yonghua
1988
Competition numbers of graphs with a small number of triangles. Zbl 0889.05057
Kim, Suh-Ryung; Roberts, Fred S.
1997
Edge-tenacious networks. Zbl 0821.90046
Piazza, Barry L.; Roberts, Fred S.; Stueckle, Sam K.
1995
$$p$$-competition graphs. Zbl 0824.05027
Kim, Suh-Ryung; McKee, Terry A.; McMorris, F. R.; Roberts, Fred S.
1995
Locating sensors in paths and cycles: the case of 2-identifying codes. Zbl 1233.94031
Roberts, David L.; Roberts, Fred S.
2008
On the indicator function of the plurality function. Zbl 0808.90008
Roberts, Fred S.
1991
Analogues of the Shannon capacity of a graph. Zbl 0501.05035
Hell, Pavol; Roberts, Fred S.
1982
How hard is it to determine if a graph has a 2-role assignment? Zbl 0991.91063
Roberts, Fred S.; Sheng, Li
2001
Competition graphs and phylogeny graphs. Zbl 0924.05032
Roberts, F. S.
1999
2-competition graphs. Zbl 0767.05087
Isaak, Garth; Kim, Suh-Ryung; McKee, Terry A.; McMorris, F. R.; Roberts, Fred S.
1992
On the optimal strongly connected orientations of city street graphs. III: Three east-west avenues or north-south streets. Zbl 0757.05057
Roberts, Fred S.; Xu, Yonghua
1992
On the optimal strongly connected orientations of city street graphs. II: Two East-West avenues or North-South streets. Zbl 0708.05026
Roberts, Fred S.; Xu, Yonghua
1989
Double semiorders and double indifference graphs. Zbl 0519.05059
Cozzens, Margaret B.; Roberts, Fred S.
1982
On the optimal strongly connected orientations of city street graphs. IV: Four east-west avenues or north-south streets. Zbl 0795.05068
Roberts, Fred S.; Xu, Yonghua
1994
Applications of the theory of meaningfulness to psychology. Zbl 0612.92021
Roberts, Fred S.
1985
$$(i,j)$$ competition graphs. Zbl 0746.05028
Hefner, Kim A. S.; Jones, Kathryn F.; Kim, Suh-ryung; Lundgren, J. Richard; Roberts, Fred S.
1991
Axioms for unique subjective probability on finite sets. Zbl 0693.92022
Fishburn, Peter C.; Roberts, Fred S.
1989
Unique finite difference measurement. Zbl 0711.05012
Fishburn, Peter C.; Marcus-Roberts, Helen M.; Roberts, Fred S.
1988
Some remarks on the double competition number of a graph. Zbl 0652.05022
Jones, Kathryn F.; Lundgren, J. Richard; Roberts, Fred S.; Seager, Suzanne
1987
A new characterization of partial orders of dimension two. Zbl 0241.06002
Baker, Kirby A.; Fishburn, Peter C.; Roberts, Fred S.
1970
The role assignment model nearly fits most social networks. Zbl 0991.91062
Pekeč, Aleksandar; Roberts, Fred S.
2001
On the meaningfulness of optimal solutions to scheduling problems: Can an optimal solution be nonoptimal? Zbl 0979.90062
Mahadev, N. V. R.; Pekeč, Aleksandar; Roberts, Fred
1998
No-hole 2-distant colorings. Zbl 0786.05036
Roberts, Fred S.
1993
Greedy algorithms for $$T$$-colorings of complete graphs and the meaningfulness of conclusions about them. Zbl 0774.05037
Cozzens, Margaret B.; Roberts, Fred S.
1991
On dimensional properties of graphs. Zbl 0675.05054
Cozzens, Margaret Barry; Roberts, Fred S.
1989
The reversing number of a digraph. Zbl 0826.05032
Barthélemy, Jean-Pierre; Hudry, Olivier; Isaak, Garth; Roberts, Fred S.; Tesman, Barry
1995
Merging relative scores. Zbl 0704.92026
Roberts, Fred S.
1990
Unique finite conjoint measurement. Zbl 0667.90002
Fishburn, Peter C.; Roberts, Fred S.
1988
Characterizations of consistent marked graphs. Zbl 1026.05054
Roberts, Fred S.; Xu, Shaoji
2003
Competition graphs of semiorders and the conditions $$C(p)$$ and $$C^ *(p)$$. Zbl 1072.05532
Kim, Suh-Ryung; Roberts, Fred S.
2002
Uniqueness in finite measurement. Zbl 0702.92024
Fishburn, Peter C.; Roberts, Fred S.
1989
Two-sided generalized Fibonacci sequences. Zbl 0683.10011
Fishburn, Peter C.; Odlyzko, Andrew M.; Roberts, Fred S.
1989
On the theory of uniqueness in measurement. Zbl 0362.92023
Roberts, Fred S.; Franke, Charles H.
1976
Computer science and decision theory. Zbl 1170.91303
Roberts, Fred S.
2008
Effects of change of scale on optimality in a scheduling model with priorities and earliness/tardiness penalties. Zbl 0897.90130
Mahadev, N. V. R.; Pekeč, A.; Roberts, F. S.
1997
$$p$$-competition numbers. Zbl 0785.05044
Kim, Suh-ryung; McKee, Terry A.; McMorris, F. R.; Roberts, Fred S.
1993
Consensus functions and patterns in molecular sequences. Zbl 0776.92005
Mirkin, Boris; Roberts, Fred S.
1993
On $$1\,0\,1$$-clear $$(0,1)$$ matrices and the double competition number of bipartite graphs. Zbl 1230.05069
Kim, Suh-Ryung; Roberts, Fred S.; Seager, Suzanne
1992
Extremal competition numbers as a generalization of Turán’s theorem. Zbl 0721.05034
Harary, Frank; Kim, Suh-Ryung; Roberts, Fred S.
1990
Applications of combinatorics and graph theory to the biological and social sciences: Seven fundamental ideas. Zbl 0705.05058
Roberts, Fred S.
1989
Signed digraphs and the energy crisis. Zbl 0357.90070
Roberts, Fred S.; Brown, Thomas A.
1975
Some problems in the geometry of visual perception. Zbl 0171.19001
Roberts, F. S.; Suppes, P.
1967
Efficient sequential decision-making algorithms for container inspection operations. Zbl 1245.90021
Madigan, David; Mittal, Sushil; Roberts, Fred
2011
Applied combinatorics. 2nd ed. Zbl 1184.05001
Roberts, Fred S.; Tesman, Barry
2009
Phylogeny numbers. Zbl 0907.05024
Roberts, Fred S.; Sheng, Li
1998
An impossibility result in axiomatic location theory. Zbl 0846.90065
Hansen, Pierre; Roberts, Fred S.
1996
Reliability of computer and communication networks. Proceedings of a DIMACS Workshop, Rutgers University, New Brunswick, New Jersey, 2-4 December 1989. Zbl 0753.00028
Roberts, Fred (ed.); Hwang, Frank (ed.); Monma, Clyde (ed.)
1991
Meaningfulness of conclusions from combinatorial optimization. Zbl 0713.90067
Roberts, Fred S.
1990
I-colorings, I-phasings, and I-intersection assignments for graphs, and their applications. Zbl 0528.90086
Opsut, Robert J.; Roberts, Fred S.
1983
Mixture axioms in linear and multilinear utility theories. Zbl 0374.90005
Fishburn, Peter C.; Roberts, Fred S.
1978
The mathematics of preference, choice and order. Essays in honor of Peter C. Fishburn. Zbl 1155.91007
Brams, Steven J. (ed.); Gehrlein, William V. (ed.); Roberts, Fred S. (ed.)
2009
Graphs and discovery. Proceedings of the DIMACS working group, computer-generated conjectures from graph theoretic and chemical databases, November 12–16, 2001, and DIMACS public event, graph theory day 42, November 10, 2001, Piscataway, NJ, USA. Zbl 1087.05001
Fajtlowicz, Siemion (ed.); Fowler, Patrick W. (ed.); Hansen, Pierre (ed.); Janowitz, Melvin F. (ed.); Roberts, Fred S. (ed.)
2005
A measure of discrepancy of multiple sequences. Zbl 0987.92015
Fang, Weiwu; Roberts, Fred S.; Ma, Zhengrong
2001
Role assignments and indifference graphs. Zbl 0929.91059
Roberts, Fred S.
1998
Phylogeny graphs of arbitrary digraphs. Zbl 0887.05048
Roberts, Fred S.; Sheng, Li
1997
A functional equation that arises in problems of scheduling with priorities and lateness/earliness penalties. Zbl 0821.90068
Roberts, F. S.
1995
Van Lier sequences. Zbl 0707.11016
Fishburn, Peter C.; Roberts, Fred S.; Marcus-Roberts, Helen M.
1990
Tight and loose value automorphisms. Zbl 0723.05067
Roberts, Fred S.; Rosenbaum, Zangwill
1988
On k-suitable sets of arrangements and the boxicity of a graph. Zbl 0629.05059
Cozzens, Margaret B.; Roberts, Fred S.
1984
Optimal I-intersection assignments for graphs: A linear programming approach. Zbl 0528.90085
Opsut, Robert J.; Roberts, Fred S.
1983
On the mobile radio frequency assignment problem and the traffic light phasing problem. Zbl 0475.94021
Roberts, Fred S.
1979
What if utility functions do not exist? Zbl 0252.90008
Roberts, Fred S.
1972
Measurement theory. With applications to decisionmaking, utility, and the social sciences. Reprint of the 1985 hardback ed. Zbl 1173.91005
Roberts, Fred S.
2009
Consensus list colorings of graphs and physical mapping of DNA. Zbl 1038.05058
Mahadev, N. V. R.; Roberts, Fred S.
2003
On balanced signed graphs and consistent marked graphs. Zbl 0971.68115
Roberts, Fred
1999
The elimination procedure for the competition number. Zbl 0963.05071
Kim, Suh-Ryung; Roberts, Fred S.
1998
On the problem of consistent marking of a graph. Zbl 0830.05059
Roberts, Fred S.
1995
New directions in graph theory (with an emphasis on the role of applications). Zbl 0787.05089
Roberts, Fred S.
1993
On Opsut’s conjecture about the competition number. Zbl 0697.05031
Kim, Suh-Ryung; Roberts, Fred S.
1990
Some results on automorphisms of ordered relational systems and the theory of scale type in measurement. Zbl 0574.92030
Roberts, Fred S.; Rosenbaum, Zangwill
1985
Indifference and seriation. Zbl 0484.05052
Roberts, Fred S.
1979
Felix Browder (1927–2016). Zbl 1406.35004
Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry
2018
A latent source model to detect multiple spatial clusters with application in a mobile sensor network for surveillance of nuclear materials. Zbl 06224975
Cheng, Jerry Q.; Xie, Minge; Chen, Rong; Roberts, Fred
2013
Efficient sequential decision-making algorithms for container inspection operations. Zbl 1245.90021
Madigan, David; Mittal, Sushil; Roberts, Fred
2011
Algorithmic decision theory. Second international conference, ADT 2011, Piscataway, NJ, USA, October 26–28, 2011. Proceedings. Zbl 1225.90005
Brafman, Ronen I. (ed.); Roberts, Fred S. (ed.); Tsoukiàs, Alexis (ed.)
2011
Irreversible $$k$$-threshold processes: Graph-theoretical threshold models of the spread of disease and of opinion. Zbl 1163.92035
Dreyer, Paul A. jun.; Roberts, Fred S.
2009
Applied combinatorics. 2nd ed. Zbl 1184.05001
Roberts, Fred S.; Tesman, Barry
2009
The mathematics of preference, choice and order. Essays in honor of Peter C. Fishburn. Zbl 1155.91007
Brams, Steven J. (ed.); Gehrlein, William V. (ed.); Roberts, Fred S. (ed.)
2009
Measurement theory. With applications to decisionmaking, utility, and the social sciences. Reprint of the 1985 hardback ed. Zbl 1173.91005
Roberts, Fred S.
2009
Locating sensors in paths and cycles: the case of 2-identifying codes. Zbl 1233.94031
Roberts, David L.; Roberts, Fred S.
2008
Computer science and decision theory. Zbl 1170.91303
Roberts, Fred S.
2008
Full color theorems for $$L(2,1)$$-colorings. Zbl 1116.05027
Fishburn, Peter C.; Roberts, Fred S.
2006
Graphs and discovery. Proceedings of the DIMACS working group, computer-generated conjectures from graph theoretic and chemical databases, November 12–16, 2001, and DIMACS public event, graph theory day 42, November 10, 2001, Piscataway, NJ, USA. Zbl 1087.05001
Fajtlowicz, Siemion (ed.); Fowler, Patrick W. (ed.); Hansen, Pierre (ed.); Janowitz, Melvin F. (ed.); Roberts, Fred S. (ed.)
2005
No-hole $$L(2,1)$$-colorings. Zbl 1032.05046
Fishburn, Peter C.; Roberts, Fred S.
2003
Characterizations of consistent marked graphs. Zbl 1026.05054
Roberts, Fred S.; Xu, Shaoji
2003
Consensus list colorings of graphs and physical mapping of DNA. Zbl 1038.05058
Mahadev, N. V. R.; Roberts, Fred S.
2003
Bioconsensus. DIMACS working group meetings on bioconsensus, October 25–26, 2000 and October 2–5, 2001, DIMACS Center. Zbl 1012.00048
Janowitz, M. F. (ed.); Lapointe, F.-J. (ed.); McMorris, F. R. (ed.); Mirkin, B. (ed.); Roberts, F. S. (ed.)
2003
Competition graphs of semiorders and the conditions $$C(p)$$ and $$C^ *(p)$$. Zbl 1072.05532
Kim, Suh-Ryung; Roberts, Fred S.
2002
The center function on trees. Zbl 0990.90063
McMorris, F. R.; Roberts, Fred S.; Wang, Chi
2001
How hard is it to determine if a graph has a 2-role assignment? Zbl 0991.91063
Roberts, Fred S.; Sheng, Li
2001
The role assignment model nearly fits most social networks. Zbl 0991.91062
Pekeč, Aleksandar; Roberts, Fred S.
2001
A measure of discrepancy of multiple sequences. Zbl 0987.92015
Fang, Weiwu; Roberts, Fred S.; Ma, Zhengrong
2001
Phylogeny numbers for graphs with two triangles. Zbl 0953.05027
Roberts, Fred S.; Sheng, Li
2000
Competition graphs and phylogeny graphs. Zbl 0924.05032
Roberts, F. S.
1999
On balanced signed graphs and consistent marked graphs. Zbl 0971.68115
Roberts, Fred
1999
Extremal phylogeny numbers. Zbl 1219.05065
Roberts, Fred S.; Sheng, Li
1999
The median procedure on median graphs. Zbl 0906.05023
McMorris, F. R.; Mulder, Henry Martyn; Roberts, Fred S.
1998
On the meaningfulness of optimal solutions to scheduling problems: Can an optimal solution be nonoptimal? Zbl 0979.90062
Mahadev, N. V. R.; Pekeč, Aleksandar; Roberts, Fred
1998
Phylogeny numbers. Zbl 0907.05024
Roberts, Fred S.; Sheng, Li
1998
Role assignments and indifference graphs. Zbl 0929.91059
Roberts, Fred S.
1998
The elimination procedure for the competition number. Zbl 0963.05071
Kim, Suh-Ryung; Roberts, Fred S.
1998
Recent progress in mathematical psychology. Psychophysics, knowledge, representations, cognition, and measurement. Meeting of the European Mathematical Psychology group, Brussels, Belgium, July 1992. Zbl 0912.00034
Dowling, Cornelia E. (ed.); Roberts, Fred S. (ed.); Theuns, Peter (ed.)
1998
Competition numbers of graphs with a small number of triangles. Zbl 0889.05057
Kim, Suh-Ryung; Roberts, Fred S.
1997
Effects of change of scale on optimality in a scheduling model with priorities and earliness/tardiness penalties. Zbl 0897.90130
Mahadev, N. V. R.; Pekeč, A.; Roberts, F. S.
1997
Phylogeny graphs of arbitrary digraphs. Zbl 0887.05048
Roberts, Fred S.; Sheng, Li
1997
Amenable colorings. Zbl 0947.05036
Mahadev, N. V. R.; Roberts, Fred S.
1997
An impossibility result in axiomatic location theory. Zbl 0846.90065
Hansen, Pierre; Roberts, Fred S.
1996
Role primitive indifference graphs and role assignments on $$w$$-fan graphs. Zbl 0897.05078
Roberts, Fred S.; Sheng, Li
1996
Edge-tenacious networks. Zbl 0821.90046
Piazza, Barry L.; Roberts, Fred S.; Stueckle, Sam K.
1995
$$p$$-competition graphs. Zbl 0824.05027
Kim, Suh-Ryung; McKee, Terry A.; McMorris, F. R.; Roberts, Fred S.
1995
The reversing number of a digraph. Zbl 0826.05032
Barthélemy, Jean-Pierre; Hudry, Olivier; Isaak, Garth; Roberts, Fred S.; Tesman, Barry
1995
A functional equation that arises in problems of scheduling with priorities and lateness/earliness penalties. Zbl 0821.90068
Roberts, F. S.
1995
On the problem of consistent marking of a graph. Zbl 0830.05059
Roberts, Fred S.
1995
On the optimal strongly connected orientations of city street graphs. IV: Four east-west avenues or north-south streets. Zbl 0795.05068
Roberts, Fred S.; Xu, Yonghua
1994
No-hole 2-distant colorings. Zbl 0786.05036
Roberts, Fred S.
1993
$$p$$-competition numbers. Zbl 0785.05044
Kim, Suh-ryung; McKee, Terry A.; McMorris, F. R.; Roberts, Fred S.
1993
Consensus functions and patterns in molecular sequences. Zbl 0776.92005
Mirkin, Boris; Roberts, Fred S.
1993
New directions in graph theory (with an emphasis on the role of applications). Zbl 0787.05089
Roberts, Fred S.
1993
2-competition graphs. Zbl 0767.05087
Isaak, Garth; Kim, Suh-Ryung; McKee, Terry A.; McMorris, F. R.; Roberts, Fred S.
1992
On the optimal strongly connected orientations of city street graphs. III: Three east-west avenues or north-south streets. Zbl 0757.05057
Roberts, Fred S.; Xu, Yonghua
1992
On $$1\,0\,1$$-clear $$(0,1)$$ matrices and the double competition number of bipartite graphs. Zbl 1230.05069
Kim, Suh-Ryung; Roberts, Fred S.; Seager, Suzanne
1992
$$T$$-colorings of graphs: recent results and open problems. Zbl 0751.05042
Roberts, Fred S.
1991
Characterizations of the plurality function. Zbl 0791.90009
Roberts, Fred S.
1991
From garbage to rainbows: Generalizations of graph coloring and their applications. Zbl 0841.05033
Roberts, Fred S.
1991
On the indicator function of the plurality function. Zbl 0808.90008
Roberts, Fred S.
1991
$$(i,j)$$ competition graphs. Zbl 0746.05028
Hefner, Kim A. S.; Jones, Kathryn F.; Kim, Suh-ryung; Lundgren, J. Richard; Roberts, Fred S.
1991
Greedy algorithms for $$T$$-colorings of complete graphs and the meaningfulness of conclusions about them. Zbl 0774.05037
Cozzens, Margaret B.; Roberts, Fred S.
1991
Reliability of computer and communication networks. Proceedings of a DIMACS Workshop, Rutgers University, New Brunswick, New Jersey, 2-4 December 1989. Zbl 0753.00028
Roberts, Fred (ed.); Hwang, Frank (ed.); Monma, Clyde (ed.)
1991
On the use of augmenting chains in chain packings. Zbl 0763.05086
de Werra, Dominique; Roberts, F. S.
1991
Merging relative scores. Zbl 0704.92026
Roberts, Fred S.
1990
Extremal competition numbers as a generalization of Turán’s theorem. Zbl 0721.05034
Harary, Frank; Kim, Suh-Ryung; Roberts, Fred S.
1990
Meaningfulness of conclusions from combinatorial optimization. Zbl 0713.90067
Roberts, Fred S.
1990
Van Lier sequences. Zbl 0707.11016
Fishburn, Peter C.; Roberts, Fred S.; Marcus-Roberts, Helen M.
1990
On Opsut’s conjecture about the competition number. Zbl 0697.05031
Kim, Suh-Ryung; Roberts, Fred S.
1990
On the possible merging functions. Zbl 0675.90005
Aczél, János; Roberts, Fred S.
1989
On the optimal strongly connected orientations of city street graphs. II: Two East-West avenues or North-South streets. Zbl 0708.05026
Roberts, Fred S.; Xu, Yonghua
1989
Axioms for unique subjective probability on finite sets. Zbl 0693.92022
Fishburn, Peter C.; Roberts, Fred S.
1989
On dimensional properties of graphs. Zbl 0675.05054
Cozzens, Margaret Barry; Roberts, Fred S.
1989
Uniqueness in finite measurement. Zbl 0702.92024
Fishburn, Peter C.; Roberts, Fred S.
1989
Two-sided generalized Fibonacci sequences. Zbl 0683.10011
Fishburn, Peter C.; Odlyzko, Andrew M.; Roberts, Fred S.
1989
Applications of combinatorics and graph theory to the biological and social sciences: Seven fundamental ideas. Zbl 0705.05058
Roberts, Fred S.
1989
Meaningless statements, matching experiments, and colored digraphs. (Applications of graph theory and combinatorics to the theory of measurement). Zbl 0723.05104
Roberts, Fred S.
1989
On the optimal strongly connected orientations of city street graphs. I: Large grids. Zbl 0658.05033
Roberts, Fred S.; Xu, Yonghua
1988
Unique finite difference measurement. Zbl 0711.05012
Fishburn, Peter C.; Marcus-Roberts, Helen M.; Roberts, Fred S.
1988
Unique finite conjoint measurement. Zbl 0667.90002
Fishburn, Peter C.; Roberts, Fred S.
1988
Tight and loose value automorphisms. Zbl 0723.05067
Roberts, Fred S.; Rosenbaum, Zangwill
1988
Some remarks on the double competition number of a graph. Zbl 0652.05022
Jones, Kathryn F.; Lundgren, J. Richard; Roberts, Fred S.; Seager, Suzanne
1987
On scientific laws without dimensional constants. Zbl 0605.39004
Aczél, János; Roberts, Fred S.; Rosenbaum, Zangwill
1986
Scale type, meaningfulness, and the possible psychophysical laws. Zbl 0633.92022
Roberts, Fred S.; Rosenbaum, Zangwill
1986
Applications of edge coverings by cliques. Zbl 0558.05046
Roberts, Fred S.
1985
Generalized competition graphs and their applications. Zbl 0572.05050
Raychaudhuri, Arundhati; Roberts, Fred S.
1985
Applications of the theory of meaningfulness to psychology. Zbl 0612.92021
Roberts, Fred S.
1985
Some results on automorphisms of ordered relational systems and the theory of scale type in measurement. Zbl 0574.92030
Roberts, Fred S.; Rosenbaum, Zangwill
1985
Issues in the theory of uniqueness in measurement. Zbl 0561.08001
Roberts, Fred S.
1985
Applied combinatorics. Zbl 0547.05001
Roberts, Fred S.
1984
On k-suitable sets of arrangements and the boxicity of a graph. Zbl 0629.05059
Cozzens, Margaret B.; Roberts, Fred S.
1984
Computing the boxicity of a graph by covering its complement by cointerval graphs. Zbl 0524.05059
Cozzens, Margaret B.; Roberts, Fred S.
1983
A characterization of competition graphs of arbitrary digraphs. Zbl 0521.05059
Roberts, Fred S.; Steif, Jeffrey E.
1983
I-colorings, I-phasings, and I-intersection assignments for graphs, and their applications. Zbl 0528.90086
Opsut, Robert J.; Roberts, Fred S.
1983
Optimal I-intersection assignments for graphs: A linear programming approach. Zbl 0528.90085
Opsut, Robert J.; Roberts, Fred S.
1983
Analogues of the Shannon capacity of a graph. Zbl 0501.05035
Hell, Pavol; Roberts, Fred S.
1982
Double semiorders and double indifference graphs. Zbl 0519.05059
Cozzens, Margaret B.; Roberts, Fred S.
1982
T-colorings of graphs and the channel assignment problem. Zbl 0537.05023
Cozzens, Margaret B.; Roberts, Fred S.
1982
On the fleet maintenance, mobile radio frequency, task assignment, and traffic phasing problems. Zbl 0471.05032
Opsut, R. J.; Roberts, F. S.
1981
Measurement theory with applications to decisionmaking, utility, and the social sciences. Zbl 0432.92001
Roberts, Fred S.
1979
On the mobile radio frequency assignment problem and the traffic light phasing problem. Zbl 0475.94021
Roberts, Fred S.
1979
Indifference and seriation. Zbl 0484.05052
Roberts, Fred S.
1979
Graph theory and the social sciences. Zbl 0444.92018
Roberts, Fred S.
1979
Structure and stability in weighted digraph models. Zbl 0428.93046
Roberts, Fred S.
1979
Graph theory and its applications to problems of society. Zbl 0452.05001
Roberts, Fred S.
1978
Food webs, competition graphs, and the boxicity of ecological phase space. Zbl 0389.90036
Roberts, Fred S.
1978
...and 20 more Documents
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#### Cited by 1,521 Authors

 47 Roberts, Fred S. 32 Fishburn, Peter Clingerman 30 Szwarcfiter, Jayme Luiz 27 Kim, Suh-Ryung 25 Chandran, L. Sunil 21 McMorris, Frederick R. 20 Rautenbach, Dieter 16 Dourado, Mitre C. 15 Mulder, Henry Martyn 14 Gavril, Fanica 14 Sano, Yoshio 13 Lundgren, J. Richard 12 Falmagne, Jean-Claude 12 Klavžar, Sandi 12 Pal, Madhumangal 12 Trotter, William T. jun. 10 Chang, Gerard Jennhwa 10 Doignon, Jean-Paul 10 Powers, Robert C. 9 Changat, Manoj 9 Lin, Min Chih 9 Park, Boram 9 Roubens, Marc 9 Sakai Troxell, Denise 9 Sivadasan, Naveen 8 Bouyssou, Denis 8 Candeal, Juan Carlos 8 Francis, Mathew C. 8 Heggernes, Pinar 8 Hudry, Olivier 8 Induráin, Esteban 8 Kratochvíl, Jan 8 Lee, Jung-Yeun 8 Paulusma, Daniël 7 Adiga, Abhijin 7 Alcón, Liliana 7 Bogart, Kenneth P. 7 Bonomo, Flavia 7 de Figueiredo, Celina M. Herrera 7 Golumbic, Martin Charles 7 Lu, Changhong 7 Mathew, Rogers 7 Maybee, John S. 7 Meister, Daniel 7 Ortega, Oscar 7 Otachi, Yota 7 Pirlot, Marc 7 Protti, Fábio 7 Sampaio, Rudini Menezes 7 Zaker, Manouchehr 6 Aczél, János Dezső 6 Bertossi, Alan A. 6 Brešar, Boštjan 6 Charon, Irène 6 Cozzens, Margaret Barry 6 Groshaus, Marina E. 6 Mandal, Nibedita 6 Olariu, Stephan 6 Panigrahi, Pratima 6 Papadopoulos, Charis 6 Saitoh, Toshiki 6 Soulignac, Francisco Juan 6 van ’t Hof, Pim 6 Walter, Gilbert G. 6 West, Douglas Brent 5 Adams, Sarah Spence 5 Campión, María Jesús 5 Choi, Jihoon 5 Chopin, Morgan 5 Day, William H. E. 5 Draque Penso, Lucia 5 Fiala, Jiří 5 Fodor, János C. 5 Grippo, Luciano Norberto 5 Gutierrez, Marisa 5 Isaak, Garth T. 5 Koh, Khee Meng 5 Luce, Robert Duncan 5 Marichal, Jean-Luc 5 Marley, Anthony A. J. 5 MacKee, Terry Allan 5 Novick, Beth 5 Ovchinnikov, Sergeĭ G. 5 Pizanã, Miguel Algel 5 Samanta, Sovan 5 Shao, Zhendong 5 Vincke, Philippe 4 Balakrishnan, Kannan 4 Chaplick, Steven 4 Cho, Han Hyuk 4 Corneil, Derek Gordon 4 Darmann, Andreas 4 Picinin de Mello, Célia 4 Durán, Guillermo Alfredo 4 Ehard, Stefan 4 Eoh, Soogang 4 Fang, Weiwu 4 Fernandes dos Santos, Vinícius 4 Gardi, Frédéric 4 Gehrlein, William V. ...and 1,421 more Authors
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#### Cited in 189 Serials

 209 Discrete Applied Mathematics 125 Discrete Mathematics 89 Journal of Mathematical Psychology 52 Theoretical Computer Science 51 Mathematical Social Sciences 44 European Journal of Operational Research 41 Information Processing Letters 30 Fuzzy Sets and Systems 19 Graphs and Combinatorics 19 Linear Algebra and its Applications 18 Journal of Combinatorial Theory. Series B 17 European Journal of Combinatorics 17 Order 17 Annals of Operations Research 16 Algorithmica 14 Theory and Decision 13 SIAM Journal on Algebraic and Discrete Methods 11 Information Sciences 11 Discrete Mathematics, Algorithms and Applications 10 Applied Mathematics Letters 10 Journal of Combinatorial Optimization 9 Journal of Graph Theory 9 Journal of Discrete Algorithms 8 Journal of Mathematical Analysis and Applications 8 International Journal of Computer Mathematics 8 Discussiones Mathematicae. Graph Theory 7 Mathematical Biosciences 7 Networks 7 SIAM Journal on Discrete Mathematics 6 Computers & Mathematics with Applications 6 Synthese 6 Advances in Applied Mathematics 6 Social Choice and Welfare 6 Information and Computation 6 Mathematical and Computer Modelling 6 Aequationes Mathematicae 6 Discrete Optimization 5 Journal of Combinatorial Theory. Series A 5 International Journal of Foundations of Computer Science 5 Theory of Computing Systems 4 Artificial Intelligence 4 Journal of Mathematical Economics 4 Combinatorica 3 International Journal of Systems Science 3 Applied Mathematics and Computation 3 Czechoslovak Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Journal of Economic Theory 3 The Journal of Mathematical Sociology 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Operations Research Letters 3 Journal of Applied Mathematics and Computing 3 Mathematics in Computer Science 3 Cryptography and Communications 2 International Journal of General Systems 2 Israel Journal of Mathematics 2 Psychometrika 2 Bulletin of Mathematical Biology 2 Algebra Universalis 2 International Journal of Game Theory 2 Journal of Philosophical Logic 2 Kybernetika 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Annals of Pure and Applied Logic 2 Journal of Classification 2 Computers & Operations Research 2 International Journal of Approximate Reasoning 2 Random Structures & Algorithms 2 Economics Letters 2 Automation and Remote Control 2 Historia Mathematica 2 Economic Theory 2 Top 2 International Transactions in Operational Research 2 Soft Computing 2 Mathematical Methods of Operations Research 2 Journal of Shanghai University 2 Annals of Combinatorics 2 RAIRO. Operations Research 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Journal of Applied Mathematics 2 Journal of Intelligent and Fuzzy Systems 2 AKCE International Journal of Graphs and Combinatorics 2 Contributions to Discrete Mathematics 2 Optimization Letters 2 Journal of Commutative Algebra 2 Axioms 2 EURO Journal on Computational Optimization 2 Journal of Dynamics and Games 1 Acta Informatica 1 Bulletin of the Australian Mathematical Society 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Notes 1 Metrika 1 Physics Reports 1 Rocky Mountain Journal of Mathematics ...and 89 more Serials
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#### Cited in 45 Fields

 736 Combinatorics (05-XX) 296 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 260 Computer science (68-XX) 150 Operations research, mathematical programming (90-XX) 116 Order, lattices, ordered algebraic structures (06-XX) 50 Mathematical logic and foundations (03-XX) 35 Statistics (62-XX) 35 Biology and other natural sciences (92-XX) 35 Information and communication theory, circuits (94-XX) 28 Difference and functional equations (39-XX) 23 Probability theory and stochastic processes (60-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Systems theory; control (93-XX) 12 Convex and discrete geometry (52-XX) 8 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 7 Number theory (11-XX) 7 Measure and integration (28-XX) 5 General algebraic systems (08-XX) 5 Group theory and generalizations (20-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX)

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