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Slater, Peter James

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Author ID: slater.peter-james Recent zbMATH articles by "Slater, Peter James"
Published as: Slater, Peter J.; Slater, P. J.; Slater, Peter; Slater, P.; Slater, Peter James
Homepage: https://www.uah.edu/science/departments/math/faculty-staff/peter-slater
External Links: MGP · dblp · GND
Documents Indexed: 233 Publications since 1972, including 2 Books
Biographic References: 1 Publication
all top 5

Co-Authors

61 single-authored
17 Haynes, Teresa W.
17 Hedetniemi, Stephen Travis
14 Seo, Suk Jai
13 Amin, Ashok T.
13 Henning, Michael Anthony
11 Bange, David W.
11 Barkauskas, Anthony E.
8 Siegrist, Kyle T.
6 Hedetniemi, Sandra Lee Mitchell
6 Sinko, Anne C.
5 Entringer, Roger Charles
5 Grinstead, Dana L.
5 Rubalcaba, Robert R.
4 Goddard, Wayne Dean
4 O’Neal, Allen
4 Phillips, James B.
4 Sewell, J. Louis
3 Chartrand, Gary Theodore
3 Erwin, David John
3 Goodman, Seymour E.
3 Hattingh, Johannes H.
3 Johnson, Terri Wilhite
3 Lampert, Douglas E.
3 Maurer, Stephen B.
3 Rall, Douglas F.
3 Schneider, Andrew
3 Smart, Chris B.
3 Zhang, Ping
2 Acharya, Belmannu Devadas
2 Barbosa, Rommel M.
2 Bascuñán, M. E.
2 Chan, Onn
2 Chellali, Mustapha
2 Chen, Chuan-Chong
2 Cockayne, Ernest J.
2 Dunbar, Jean E.
2 Harary, Frank
2 Host, Linda H.
2 Hulme, Bernie L.
2 McRae, Alice A.
2 Ragukumar, P.
2 Roden-Bowie, Miranda L.
2 Roden, Miranda L.
2 Sethuraman, G.
2 Trees, Eric L.
2 Vélez, William Yslas
2 Walsh, Matthew
1 Abhishek, Kumar
1 Arumugam, Subramanian
1 Brigham, Robert C.
1 Buckley, Fred
1 Caron, Richard M.
1 Chaiken, Seth
1 Chvátal, Václav
1 Cikanek, Dana Grinstead
1 Clark, Lane H.
1 Colbourn, Charles J.
1 Dankelmann, Peter
1 Dewdney, A. K.
1 Dow, Stephen J.
1 Favaron, Odile
1 Foucaud, Florent
1 Gavlas, Heather Jordon
1 Germina, K. A.
1 Gibbs, Richard A.
1 Gibson, Peter M.
1 Godbold, Richard D.
1 Hernando, Carmen
1 Holmes, Nancy D.
1 Jackson, Douglas E.
1 Jafari Rad, Nader
1 Johnson, Peter D. jun.
1 Klasing, Ralf
1 Koh, Khee Meng
1 Laskar, Renu Chakravarti
1 Lawler, Eugene L.
1 Lim, Bock Boom
1 Markus, Lisa R.
1 Marples, P. L.
1 Mashburn, J. L.
1 Meiers, Debra L.
1 Miller, Zevi
1 Mimouni, Malika
1 Mora, Mercè
1 Morgan, Christine A.
1 Oellermann, Ortrud R.
1 Peyrat, Claudine
1 Philips, James B.
1 Proffitt, Kenneth E.
1 Quintas, Louis V.
1 Raines, Michael E.
1 Schultz, Kelly
1 Selig, W. J.
1 Sherwani, Naveed A.
1 Shiver, A. W.
1 Simmons, Gustavus James
1 Sterling, Christopher
1 Stewart, Lorna K.
1 Swart, Henda C.
1 van der Merwe, Lucas C.
...and 6 more Co-Authors
all top 5

Serials

28 Congressus Numerantium
23 Discrete Mathematics
18 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
12 Bulletin of the Institute of Combinatorics and its Applications
11 Networks
10 Ars Combinatoria
9 Journal of Graph Theory
7 AKCE International Journal of Graphs and Combinatorics
6 Journal of Combinatorial Theory. Series B
6 Utilitas Mathematica
5 The Australasian Journal of Combinatorics
4 Discrete Applied Mathematics
4 Discussiones Mathematicae. Graph Theory
3 Information Processing Letters
2 American Mathematical Monthly
2 The Fibonacci Quarterly
2 Journal of the Association for Computing Machinery
2 Pacific Journal of Mathematics
2 SIAM Journal on Algebraic and Discrete Methods
2 Journal of the Indonesian Mathematical Society
2 Journal of Research of the National Bureau of Standards
2 Pure and Applied Mathematics, Marcel Dekker
1 Journal of the Franklin Institute
1 Journal of Mathematical and Physical Sciences
1 Journal of Research of the National Bureau of Standards
1 Linear and Multilinear Algebra
1 Canadian Mathematical Bulletin
1 IEEE Transactions on Circuits and Systems
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Number Theory
1 Match
1 Nanta Mathematica
1 Operations Research
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Rivista di Matematica della Università di Parma. Serie IV
1 SIAM Journal on Computing
1 Studia Scientiarum Mathematicarum Hungarica
1 Southeast Asian Bulletin of Mathematics
1 Journal of Algorithms
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
1 Journal of Combinatorial Optimization
1 Probability in the Engineering and Informational Sciences
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Scientia. Series A: Mathematical Sciences. New Series
1 Mathematics in Computer Science
1 Mathematical Medley
1 Electronic Journal of Graph Theory and Applications

Publications by Year

Citations contained in zbMATH Open

172 Publications have been cited 3,302 times in 2,086 Documents Cited by Year
Fundamentals of domination in graphs. Zbl 0890.05002
Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J.
1998
Domination in graphs. Advanced topics. Zbl 0883.00011
Haynes, Teresa W. (ed.); Hedetniemi, Stephen T. (ed.); Slater, Peter J. (ed.)
448
1998
Dominating and reference sets in a graph. Zbl 0656.05057
Slater, Peter J.
107
1988
Paired-domination in graphs. Zbl 0997.05074
Haynes, Teresa W.; Slater, Peter J.
90
1998
Efficient dominating sets in graphs. Zbl 0664.05027
Bange, D. W.; Barkauskas, A. E.; Slater, P. J.
61
1988
Domination and location in acyclic graphs. Zbl 0643.90089
Slater, Peter J.
58
1987
Signed domination in graphs. Zbl 0842.05051
Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J.
52
1995
R-domination in graphs. Zbl 0349.05120
Slater, Peter J.
50
1976
Centers to centroids in graphs. Zbl 0425.05021
Slater, Peter J.
45
1978
Paired-domination and the paired-domatic number. Zbl 0904.05052
Haynes, Teresa W.; Slater, Peter J.
44
1995
Information dissemination in trees. Zbl 0468.68064
Slater, P. J.; Cockayne, E. J.; Hedetniemi, S. T.
44
1981
Locating dominating sets in series parallel networks. Zbl 0646.05065
Colbourn, C. J.; Slater, P. J.; Stewart, L. K.
42
1987
Inequalities relating domination parameters in cubic graphs. Zbl 0858.05058
Henning, Michael A.; Slater, Peter J.
36
1996
Fault-tolerant locating-dominating sets. Zbl 1001.05090
Slater, Peter J.
34
2002
A linear algorithm for a core of a tree. Zbl 0454.68067
Morgan, Christine A.; Slater, Peter J.
33
1980
Leaves of trees. Zbl 0316.05102
Slater, Peter J.
32
1975
A note on well-covered graphs. Zbl 0801.68119
Chvátal, Václav; Slater, Peter J.
31
1993
Efficient edge domination problems in graphs. Zbl 0797.05076
Grinstead, Dana L.; Slater, Peter J.; Sherwani, Naveed A.; Holmes, Nancy D.
29
1993
Locating dominating sets and locating-dominating sets. Zbl 0846.05047
Slater, Peter J.
24
1995
Line graphs of triangleless graphs and iterated clique graphs. Zbl 0255.05121
Hedetniemi, S. T.; Slater, P. J.
22
1972
Differentials in graphs. Zbl 1103.05087
Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J.
22
2006
Generalized domination and efficient domination in graphs. Zbl 0860.05044
Bange, D. W.; Barkauskas, A. E.; Host, L. H.; Slater, P. J.
20
1996
Medians of arbitrary graphs. Zbl 0446.05029
Slater, Peter J.
20
1980
On graphs containing a given graph as center. Zbl 0449.05056
Buckley, Fred; Miller, Zevi; Slater, Peter J.
19
1981
A classification of 4-connected graphs. Zbl 0298.05136
Slater, Peter J.
18
1974
The algorithmic complexity of signed domination in graphs. Zbl 0835.68089
Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J.
17
1995
Maximin facility location. Zbl 0327.05105
Slater, Peter J.
17
1976
On k-critical, n-connected graphs. Zbl 0375.05031
Maurer, Stephen; Slater, Peter J.
16
1978
Open neighborhood locating-dominating sets. Zbl 1196.05067
Seo, Suk J.; Slater, Peter J.
16
2010
Paired-domination in grid graphs. Zbl 0988.05067
Proffitt, Kenneth E.; Haynes, Teresa W.; Slater, Peter J.
15
2001
A note on packing two trees into \(K_ n\). Zbl 0491.05050
Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J.
15
1981
The complementary product of two graphs. Zbl 1155.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.; van der Merwe, Lucas C.
15
2007
Liar’s domination in graphs. Zbl 1211.05123
Roden, Miranda L.; Slater, Peter J.
15
2009
All parity realizable trees. Zbl 0845.05029
Amin, A. T.; Slater, P. J.
14
1996
Distance and connectivity measures in permutation graphs. Zbl 1022.05024
Goddard, Wayne; Raines, Michael E.; Slater, Peter J.
14
2003
Fractional domination and fractional packing in graphs. Zbl 0691.05043
Grinstead, D. L.; Slater, P. J.
14
1990
Disjoint dominating sets in graphs. Zbl 1171.05038
Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J.
14
2008
Liar’s domination. Zbl 1204.90061
Slater, Peter J.
14
2009
Open neighborhood locating-dominating in trees. Zbl 1209.05053
Seo, Suk J.; Slater, Peter J.
14
2011
Enclaveless sets and MK-systems. Zbl 0421.05053
Slater, Peter J.
14
1977
Geodetic connectivity of graphs. Zbl 0344.05137
Entringer, Roger C.; Jackson, Douglas E.; Slater, Peter J.
13
1977
The locating-chromatic number of a graph. Zbl 1009.05056
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
13
2002
Counterexamples to Randic’s conjecture on distance degree sequences for trees. Zbl 0484.05031
Slater, Peter J.
13
1982
Fault-tolerant metric dimension of graphs. Zbl 1170.05306
Hernando, Carmen; Mora, Merce; Slater, Peter J.; Wood, David R.
13
2008
Gossips and telegraphs. Zbl 0408.05051
Entringer, Roger C.; Slater, Peter J.
13
1979
Open packing in graphs. Zbl 0922.05040
Henning, Michael A.; Slater, Peter J.
12
1999
Neighborhood domination with parity restrictions in graphs. Zbl 0798.68135
Amin, A. T.; Slater, P. J.
12
1992
On locating a facility to service areas within a network. Zbl 0455.90028
Slater, Peter J.
12
1981
A Boolean algebraic analysis of fire protection. Zbl 0551.90052
Hulme, B. L.; Shiver, A. W.; Slater, P. J.
12
1984
Packing a tree with a graph of the same size. Zbl 0574.05018
Slater, P. J.; Teo, S. K.; Yap, H. P.
12
1985
Complexity results for closed neighborhood order parameters. Zbl 0895.05060
Smart, Chris B.; Slater, Peter J.
11
1995
Parity dimension for graphs. Zbl 0957.05058
Amin, Ashok T.; Clark, Lane H.; Slater, Peter J.
11
1998
Strong equality of domination parameters in trees. Zbl 1020.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
11
2003
Advances on the Hamiltonian completion problem. Zbl 0307.05123
Goodman, S. E.; Hedetniemi, S. T.; Slater, P. J.
11
1975
Center, median, and centroid subgraphs. Zbl 0946.05038
Smart, Christian; Slater, Peter J.
10
1999
On the maximum number of cycles in a graph. Zbl 0469.05043
Entringer, R. C.; Slater, P. J.
10
1981
An optimal diagonal tree code. Zbl 0512.05023
Chaiken, S.; Dewdney, A. K.; Slater, P. J.
10
1983
All cycles are edge-magic. Zbl 0892.05042
Godbold, Richard D.; Slater, Peter J.
10
1998
On k-sequential and other numbered graphs. Zbl 0461.05053
Slater, Peter J.
9
1981
Few compare to the great Roman Empire. Zbl 1293.05263
Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt
9
2013
On k-minimally n-edge-connected graphs. Zbl 0397.05033
Maurer, Stephen B.; Slater, Peter J.
9
1978
Matchings and transversals in hypergraphs, domination and independence in trees. Zbl 0414.05036
Cockayne, E. J.; Hedetniemi, S. T.; Slater, P. J.
9
1979
On location-domination numbers for certain classes of graphs. Zbl 0568.05033
Rall, Douglas F.; Slater, Peter J.
9
1984
A recurrence template for several parameters in series-parallel graphs. Zbl 0812.68099
Grinstead, Dana L.; Slater, Peter J.
8
1994
On iterated clique graphs with increasing diameters. Zbl 0596.05036
Peyrat, C.; Rall, D. F.; Slater, P. J.
7
1986
Parallel knockouts in the complete graph. Zbl 0974.05079
Lampert, Douglas E.; Slater, Peter J.
6
1998
Parity dimension for graphs—a linear algebraic approach. Zbl 1023.05095
Amin, Ashok T.; Slater, Peter J.; Zhang, Guo-Hui
6
2002
Centrality of paths and vertices in a graph: cores and pits. Zbl 0469.05058
Slater, P. J.
6
1981
Graphs of order \(n\) with locating-chromatic number \(n-1\). Zbl 1020.05026
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
6
2003
Exact formulas for reliability measures for various classes of graphs. Zbl 0667.05050
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
6
1987
On the optional Hamiltonian completion problem. Zbl 0323.05121
Slater, P. J.; Goodman, S. E.; Hedetniemi, S. T.
6
1976
A note on k-critically n-connected graphs. Zbl 0341.05120
Entringer, R. C.; Slater, Peter J.
6
1977
Roman dominating influence parameters. Zbl 1127.05075
Rubalcaba, Robert R.; Slater, Peter J.
6
2007
Pair-connected reliability of a tree and its distance degree sequences. Zbl 0653.05025
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
6
1987
Simply sequential and graceful graphs. Zbl 0427.05056
Bange, D. W.; Barkauskas, A. E.; Slater, Peter J.
5
1979
Multi-fractional domination. Zbl 0995.05114
Slater, Peter J.; Trees, Eric L.
5
2002
The k-nucleus of a graph. Zbl 0459.94035
Slater, Peter J.
5
1981
Sequentially additive graphs. Zbl 0508.05057
Bange, D. W.; Barkauskas, A. E.; Slater, P. J.
5
1983
On minimum dominating sets with minimum intersection. Zbl 0745.05057
Grinstead, Dana L.; Slater, Peter J.
5
1990
Permutations of the positive integers with restrictions on the sequence of differences. Zbl 0333.05002
Slater, Peter J.; Vélez, William Yslas
5
1977
Efficient open domination in graphs. Zbl 1110.05077
Gavlas, Heather; Schultz, Kelly; Slater, Peter
5
2003
On k-graceful graphs. Zbl 0519.05057
Slater, Peter J.
5
1982
An introduction to distance \(D\) magic graphs. Zbl 1288.05227
O’Neal, Allen; Slater, Peter J.
5
2011
The connected hub number and the connected domination number. Zbl 1233.05126
Johnson, Peter; Slater, Peter; Walsh, Matt
5
2011
Path coverings of the vertices of a tree. Zbl 0391.05020
Slater, Peter J.
5
1979
A linear algorithm for the cutting center of a tree. Zbl 0624.68058
Harary, Frank; Slater, Peter J.
5
1986
Uniqueness of vertex magic constants. Zbl 1272.05174
O’Neal, Allen; Slater, Peter J.
4
2013
Centroidal bases in graphs. Zbl 1386.05046
Foucaud, Florent; Klasing, Ralf; Slater, Peter J.
4
2014
The acquisition number of a graph. Zbl 0904.05053
Lampert, D. E.; Slater, P. J.
4
1995
Average distance in colored graphs. Zbl 0991.05038
Dankelmann, Peter; Goddard, Wayne; Slater, Peter
4
2001
The expected number of pairs of connected nodes: Pair-connected reliability. Zbl 0800.68631
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
4
1993
Graph competition independence and enclaveless parameters. Zbl 1021.05078
Phillips, James B.; Slater, Peter J.
4
2002
Centers and medians of C(//n)-trees. Zbl 0504.05054
Hedetniemi, Sandra Mitchell; Hedetniemi, Stephen T.; Slater, Peter J.
4
1982
On the nonexistence of uniformly optimal graphs for pair-connected reliability. Zbl 0736.90034
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
4
1991
Permutations of the positive integers with restrictions on the sequence of differences. II. Zbl 0386.10009
Slater, Peter J.; Vélez, William Yslas
4
1979
Conservative graphs. Zbl 0401.05066
Bange, David W.; Barkauskas, Anthony E.; Slater, Peter J.
4
1980
Liars’ domination and the domination continuum. Zbl 1181.05073
Roden, Miranda L.; Slater, Peter J.
4
2008
On open neighborhood locating-dominating in graphs. Zbl 1306.05178
Chellali, Mustapha; Jafari Rad, Nader; Seo, Suk Jai; Slater, Peter James
4
2014
A theorem on critically 3-connected graphs. Zbl 0406.05043
Entringer, R. C.; Slater, P. J.
4
1978
Structure of the k-centra in a tree. Zbl 0421.05020
Slater, Peter J.
4
1978
Generalized set dominating and separating systems. Zbl 1390.05176
Seo, Suk J.; Slater, Peter J.
1
2018
Independent locating-dominating sets and identifying codes in graphs. Zbl 1390.05178
Slater, Peter J.; Sewell, J. Louis
1
2018
On the efficiency index of a graph. Zbl 1344.90060
Barbosa, Rommel; Slater, Peter
2
2016
Fault tolerant detectors for distinguishing sets in graphs. Zbl 1327.05266
Seo, Suk J.; Slater, Peter J.
1
2015
Centroidal bases in graphs. Zbl 1386.05046
Foucaud, Florent; Klasing, Ralf; Slater, Peter J.
4
2014
On open neighborhood locating-dominating in graphs. Zbl 1306.05178
Chellali, Mustapha; Jafari Rad, Nader; Seo, Suk Jai; Slater, Peter James
4
2014
A sharp lower bound for locating-dominating sets in trees. Zbl 1305.05180
Sewell, J. Louis; Slater, Peter J.
3
2014
OLD trees with maximum degree three. Zbl 1300.05234
Seo, Suk J.; Slater, Peter J.
1
2014
Few compare to the great Roman Empire. Zbl 1293.05263
Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt
9
2013
Uniqueness of vertex magic constants. Zbl 1272.05174
O’Neal, Allen; Slater, Peter J.
4
2013
Open locating-dominating interpolation for trees. Zbl 1293.05273
Seo, Suk J.; Slater, Peter J.
1
2013
Open neighborhood locating-domination for grid-like graphs. Zbl 1278.05177
Seo, Suk J.; Slater, Peter J.
2
2012
Liar’s domination in ladders. Zbl 1278.05180
Sterling, Christopher; Haynes, Teresa W.; Slater, Peter J.
2
2012
Graphical parameters for classes of tumbling block graphs. Zbl 1278.05178
Seo, Suk J.; Slater, Peter J.
2
2012
Some new results on set-graceful and set-sequential graphs. Zbl 1301.05156
Acharya, B. D.; Germina, K. A.; Abhishek, Kumar; Slater, P. J.
2
2012
On efficient dominating sets in simplicial graphs. Zbl 1252.05159
Barbosa, Rommel; Slater, Peter
1
2012
Open neighborhood locating-dominating in trees. Zbl 1209.05053
Seo, Suk J.; Slater, Peter J.
14
2011
An introduction to distance \(D\) magic graphs. Zbl 1288.05227
O’Neal, Allen; Slater, Peter J.
5
2011
The connected hub number and the connected domination number. Zbl 1233.05126
Johnson, Peter; Slater, Peter; Walsh, Matt
5
2011
The minimax, maximin, and spread values for open neighborhood sums for 2-regular graphs. Zbl 1247.05211
O’Neal, Allen; Slater, Peter J.
1
2011
How provably graceful are the trees? Zbl 1288.05233
Slater, Peter J.
1
2011
The graph distance game. Zbl 1238.05174
Goddard, Wayne; Sinko, Anne; Slater, Peter; Xu, Honghai
1
2011
An introduction to closed/open neighborhood sums: minimax, maximin, and spread. Zbl 1254.05176
O’Neal, Allen; Slater, Peter J.
1
2011
Open neighborhood locating-dominating sets. Zbl 1196.05067
Seo, Suk J.; Slater, Peter J.
16
2010
Liar’s domination in graphs. Zbl 1211.05123
Roden, Miranda L.; Slater, Peter J.
15
2009
Liar’s domination. Zbl 1204.90061
Slater, Peter J.
14
2009
Minimax open and closed neighborhood sums. Zbl 1210.05153
Schneider, Andrew; Slater, Peter J.
2
2009
Set-sized \((1,3)\)-domination for trees. Zbl 1211.05124
Roden-Bowie, Miranda L.; Slater, Peter J.
1
2009
Disjoint dominating sets in graphs. Zbl 1171.05038
Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J.
14
2008
Fault-tolerant metric dimension of graphs. Zbl 1170.05306
Hernando, Carmen; Mora, Merce; Slater, Peter J.; Wood, David R.
13
2008
Liars’ domination and the domination continuum. Zbl 1181.05073
Roden, Miranda L.; Slater, Peter J.
4
2008
Some results on acquisition numbers. Zbl 1163.05031
Slater, Peter J.
2
2008
Queen’s domination using border squares and \((A,B)\)-restricted domination. Zbl 1159.05042
Sinko, Anne; Slater, Peter J.
1
2008
Irredundant colorings of graphs. Zbl 1181.05041
Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A.; Slater, Peter J.
1
2008
The complementary product of two graphs. Zbl 1155.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.; van der Merwe, Lucas C.
15
2007
Roman dominating influence parameters. Zbl 1127.05075
Rubalcaba, Robert R.; Slater, Peter J.
6
2007
Efficient \((j,k)\)-domination. Zbl 1142.05062
Rubalcaba, Robert R.; Slater, Peter J.
3
2007
A note on obtaining \(k\) dominating sets from a \(k\)-dominating function on a tree. Zbl 1139.05046
Rubalcaba, Robert R.; Slater, Peter J.
2
2007
Minimax neighborhood sums. Zbl 1141.05072
Schneider, Andrew; Slater, Peter J.
2
2007
Competition parameters of a graph. Zbl 1135.05055
Seo, Suk J.; Slater, Peter J.
2
2007
Differentials in graphs. Zbl 1103.05087
Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J.
22
2006
A survey on graphs which have equal domination and closed neighbourhood packing numbers. Zbl 1121.05088
Rubalcaba, Robert R.; Schneider, Andrew; Slater, Peter J.
3
2006
Efficient domination in knights graphs. Zbl 1120.05066
Sinko, Anne; Slater, Peter J.
1
2006
Trees with equal domination and paired-domination numbers. Zbl 1164.05420
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
3
2005
An introduction to influence parameters for chessboard graphs. Zbl 1123.05069
Sinko, Anne; Slater, Peter J.
1
2005
The competitive-acquisition numbers of paths. Zbl 1108.91017
Slater, Peter J.; Wang, Yan
1
2004
Distance and connectivity measures in permutation graphs. Zbl 1022.05024
Goddard, Wayne; Raines, Michael E.; Slater, Peter J.
14
2003
Strong equality of domination parameters in trees. Zbl 1020.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
11
2003
Graphs of order \(n\) with locating-chromatic number \(n-1\). Zbl 1020.05026
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
6
2003
Efficient open domination in graphs. Zbl 1110.05077
Gavlas, Heather; Schultz, Kelly; Slater, Peter
5
2003
\(H\)-forming sets in graphs. Zbl 1017.05082
Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A.; Slater, Peter J.
3
2003
Fault-tolerant locating-dominating sets. Zbl 1001.05090
Slater, Peter J.
34
2002
The locating-chromatic number of a graph. Zbl 1009.05056
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
13
2002
Parity dimension for graphs—a linear algebraic approach. Zbl 1023.05095
Amin, Ashok T.; Slater, Peter J.; Zhang, Guo-Hui
6
2002
Multi-fractional domination. Zbl 0995.05114
Slater, Peter J.; Trees, Eric L.
5
2002
Graph competition independence and enclaveless parameters. Zbl 1021.05078
Phillips, James B.; Slater, Peter J.
4
2002
Paired-domination in grid graphs. Zbl 0988.05067
Proffitt, Kenneth E.; Haynes, Teresa W.; Slater, Peter J.
15
2001
Average distance in colored graphs. Zbl 0991.05038
Dankelmann, Peter; Goddard, Wayne; Slater, Peter
4
2001
Strong equality of upper domination and independence in trees. Zbl 0980.05038
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
2
2001
A generalization of domination critical graphs. Zbl 0964.05048
Phillips, James B.; Haynes, Teresa W.; Slater, Peter J.
2
2000
Distance-\(k\) independent domination sequences. Zbl 0959.05087
Favaron, Odile; Haynes, Teresa W.; Slater, Peter J.
2
2000
Bounds on the total redundance and efficiency of a graph. Zbl 0993.05103
Goddard, Wayne; Oellermann, Ortrud R.; Slater, Peter J.; Swart, Henda C.
2
2000
Open packing in graphs. Zbl 0922.05040
Henning, Michael A.; Slater, Peter J.
12
1999
Center, median, and centroid subgraphs. Zbl 0946.05038
Smart, Christian; Slater, Peter J.
10
1999
A survey of sequences of central subgraphs. Zbl 0968.05029
Slater, Peter J.
2
1999
The Hedetniemi number of a graph. Zbl 0960.05077
Slater, Peter J.
1
1999
Fundamentals of domination in graphs. Zbl 0890.05002
Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J.
1998
Domination in graphs. Advanced topics. Zbl 0883.00011
Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J.
448
1998
Paired-domination in graphs. Zbl 0997.05074
Haynes, Teresa W.; Slater, Peter J.
90
1998
Parity dimension for graphs. Zbl 0957.05058
Amin, Ashok T.; Clark, Lane H.; Slater, Peter J.
11
1998
All cycles are edge-magic. Zbl 0892.05042
Godbold, Richard D.; Slater, Peter J.
10
1998
Parallel knockouts in the complete graph. Zbl 0974.05079
Lampert, Douglas E.; Slater, Peter J.
6
1998
LP-duality, complementarity, and generality of graphical subset parameters. Zbl 0891.05046
Slater, Peter J.
2
1998
Efficient and excess domination in graphs. Zbl 0903.05032
Harary, Frank; Haynes, Teresa W.; Slater, Peter J.
1
1998
Inequalities relating domination parameters in cubic graphs. Zbl 0858.05058
Henning, Michael A.; Slater, Peter J.
36
1996
Generalized domination and efficient domination in graphs. Zbl 0860.05044
Bange, D. W.; Barkauskas, A. E.; Host, L. H.; Slater, P. J.
20
1996
All parity realizable trees. Zbl 0845.05029
Amin, A. T.; Slater, P. J.
14
1996
Interior parameters in \(\text{ir}\leq \gamma \leq i\leq \dots \leq \beta \leq \Gamma\leq\)IR. Zbl 0896.05036
Lampert, D. E.; Slater, P. J.
1
1996
Signed domination in graphs. Zbl 0842.05051
Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J.
52
1995
Paired-domination and the paired-domatic number. Zbl 0904.05052
Haynes, Teresa W.; Slater, Peter J.
44
1995
Locating dominating sets and locating-dominating sets. Zbl 0846.05047
Slater, Peter J.
24
1995
The algorithmic complexity of signed domination in graphs. Zbl 0835.68089
Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J.
17
1995
Complexity results for closed neighborhood order parameters. Zbl 0895.05060
Smart, Chris B.; Slater, Peter J.
11
1995
The acquisition number of a graph. Zbl 0904.05053
Lampert, D. E.; Slater, P. J.
4
1995
On the additive bandwidth of graphs. Zbl 0833.05066
Bascuñán, M. E.; Ruiz, S.; Brigham, R. C.; Caron, R. M.; Slater, P. J.; Vitray, R. P.
1
1995
A recurrence template for several parameters in series-parallel graphs. Zbl 0812.68099
Grinstead, Dana L.; Slater, Peter J.
8
1994
Three-valued \(k\)-neighborhood domination in graphs. Zbl 0819.05023
Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J.
2
1994
A note on well-covered graphs. Zbl 0801.68119
Chvátal, Václav; Slater, Peter J.
31
1993
Efficient edge domination problems in graphs. Zbl 0797.05076
Grinstead, Dana L.; Slater, Peter J.; Sherwani, Naveed A.; Holmes, Nancy D.
29
1993
The expected number of pairs of connected nodes: Pair-connected reliability. Zbl 0800.68631
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
4
1993
The optimal unicyclic graphs for pair-connected reliability. Zbl 0773.05093
Siegrist, Kyle T.; Amin, Ashok T.; Slater, Peter J.
3
1993
Maximum matching among minimum dominating sets. Zbl 0841.05051
Slater, Peter J.
1
1993
Maximum independent, minimally redundant sets in series-parallel graphs. Zbl 0794.05124
Johnson, T. W.; Slater, P. J.
1
1993
On uniformly optimally reliable graphs for pair-connected reliability with vertex failures. Zbl 0780.90044
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
1
1993
Neighborhood domination with parity restrictions in graphs. Zbl 0798.68135
Amin, A. T.; Slater, P. J.
12
1992
The additive bandwidth of grids and complete bipartite graphs. Zbl 0790.05072
Bascuñán, M. E.; Ruiz, S.; Slater, P. J.
1
1992
On the nonexistence of uniformly optimal graphs for pair-connected reliability. Zbl 0736.90034
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
4
1991
On the minimum intersection of minimum dominating sets in series-parallel graphs. Zbl 0841.05049
Grinstead, D. L.; Slater, P. J.
3
1991
Distinct distance sets in a graph. Zbl 0755.05085
Gibbs, Richard A.; Slater, Peter J.
3
1991
Minimum dominating, optimally independent vertex sets in graphs. Zbl 0841.05050
Selig, W. J.; Slater, P. J.
2
1991
...and 72 more Documents
all top 5

Cited by 2,216 Authors

171 Henning, Michael Anthony
75 Volkmann, Lutz
54 Haynes, Teresa W.
54 Jafari Rad, Nader
45 Sheikholeslami, Seyed Mahmoud
43 Slater, Peter James
41 Shan, Erfang
39 Rautenbach, Dieter
36 Kang, Liying
33 Hedetniemi, Stephen Travis
29 Chellali, Mustapha
29 Yero, Ismael Gonzalez
25 Rodríguez-Velazquez, Juan Alberto
23 Mynhardt, Christina M.
21 Chang, Gerard Jennhwa
20 Goddard, Wayne Dean
20 Mojdeh, Doost Ali
20 Yeo, Anders
19 Klavžar, Sandi
18 Milanič, Martin
18 Panda, Bhawani Sankar
17 Kratsch, Dieter
16 Hattingh, Johannes H.
16 Laihonen, Tero K.
16 Lemańska, Magdalena
15 Chen, Xuegang
15 Favaron, Odile
15 Fernau, Henning
15 Shao, Zehui
15 Xu, Junming
14 Amjadi, Jafar
14 Brandstädt, Andreas
14 Desormeaux, Wyatt J.
14 Krzywkowski, Marcin
14 Lu, Changhong
14 Raczek, Joanna
13 Brešar, Boštjan
13 Cockayne, Ernest J.
13 Foucaud, Florent
13 Kuziak, Dorota
13 Löwenstein, Christian
13 Mora, Mercè
13 Sohn, Moo Young
13 Venkatakrishnan, Yanamandram Balasubramanian
12 Ahangar, Hossein Abdollahzadeh
12 Alikhani, Saeid
12 Hernando, Carmen
12 Honkala, Iiro S.
12 Puerto Albandoz, Justo
11 Chartrand, Gary Theodore
11 Dankelmann, Peter
11 Galeana-Sánchez, Hortensia
11 Golovach, Petr A.
11 Hao, Guoliang
11 Junnila, Ville
11 Oellermann, Ortrud R.
11 Rall, Douglas F.
11 Scozzari, Andrea
10 Arumugam, Subramanian
10 Balbuena, Camino
10 Bermudo, Sergio
10 Dettlaff, Magda
10 Estrada-Moreno, Alejandro
10 Hedetniemi, Sandra Lee Mitchell
10 Imran, Muhammad
10 Klostermeyer, William F.
10 Lobstein, Antoine-Christophe
10 Parreau, Aline
10 Peterin, Iztok
10 Southey, Justin
9 Blidia, Mostafa
9 Cardoso, Domingos Moreira
9 Cheng, Tai-Chiu Edwin
9 Dorbec, Paul
9 Furuya, Michitaka
9 Heggernes, Pinar
9 Hudry, Olivier
9 Levit, Vadim E.
9 Liedloff, Mathieu
9 McRae, Alice A.
9 Pandey, Arti
9 Paul, Subhabrata
9 Pelayo, Ignacio M.
9 Tamir, Arie
9 Tamizh Chelvam, Thirugnanam
9 Tankus, David
9 Zhao, Yancai
8 Bujtás, Csilla
8 Dong, Yanxia
8 Gupta, Purnima
8 Hu, Fu-Tao
8 Joubert, Ernst J.
8 Krishnakumari, Balakrishna
8 Larrion, Francisco
8 Li, Zepeng
8 Lozin, Vadim Vladislavovich
8 Mosca, Raffaele
8 Pizanã, Miguel Algel
8 Szwarcfiter, Jayme Luiz
8 Xing, Huaming
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Cited in 209 Serials

373 Discrete Applied Mathematics
323 Discrete Mathematics
95 Theoretical Computer Science
95 Graphs and Combinatorics
76 Journal of Combinatorial Optimization
74 Discussiones Mathematicae. Graph Theory
69 Discrete Mathematics, Algorithms and Applications
66 Information Processing Letters
30 Journal of Graph Theory
28 Networks
25 European Journal of Combinatorics
22 Czechoslovak Mathematical Journal
22 Algorithmica
21 Applied Mathematics and Computation
19 European Journal of Operational Research
19 Journal of Discrete Mathematical Sciences & Cryptography
18 Journal of Combinatorial Theory. Series B
17 Quaestiones Mathematicae
17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
17 AKCE International Journal of Graphs and Combinatorics
15 Applied Mathematics Letters
15 International Journal of Computer Mathematics
13 Asian-European Journal of Mathematics
12 The Australasian Journal of Combinatorics
12 Acta Mathematica Sinica. English Series
12 Journal of Discrete Algorithms
12 Discrete Optimization
12 Communications in Combinatorics and Optimization
10 Advances and Applications in Discrete Mathematics
10 Transactions on Combinatorics
9 Computers & Mathematics with Applications
9 Operations Research Letters
9 Central European Journal of Mathematics
8 Annals of Operations Research
8 Linear Algebra and its Applications
8 Opuscula Mathematica
8 Journal of Shanghai University
7 Information Sciences
7 Mathematica Slovaca
7 SIAM Journal on Algebraic and Discrete Methods
7 Computers & Operations Research
7 SIAM Journal on Discrete Mathematics
7 Aequationes Mathematicae
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 International Journal of Combinatorics
6 Journal of Computer and System Sciences
6 The Electronic Journal of Combinatorics
6 Lobachevskii Journal of Mathematics
6 RAIRO. Operations Research
6 Mathematics in Computer Science
6 ISRN Discrete Mathematics
6 Journal of Mathematics
5 Acta Mathematicae Applicatae Sinica. English Series
5 International Journal of Foundations of Computer Science
5 Journal of Applied Mathematics and Computing
5 South East Asian Journal of Mathematics and Mathematical Sciences
5 Ars Mathematica Contemporanea
4 Results in Mathematics
4 Advances in Applied Mathematics
4 Designs, Codes and Cryptography
4 Top
4 Theory of Computing Systems
4 Mathematical Methods of Operations Research
4 Proyecciones
4 Symmetry
4 ISRN Combinatorics
3 Communications in Algebra
3 Indian Journal of Pure & Applied Mathematics
3 Journal of the Franklin Institute
3 Periodica Mathematica Hungarica
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Combinatorial Theory. Series A
3 Statistics & Probability Letters
3 Combinatorica
3 Information and Computation
3 Mathematical and Computer Modelling
3 Journal of Mathematical Chemistry
3 Annals of Combinatorics
3 Discrete Dynamics in Nature and Society
3 Communications of the Korean Mathematical Society
3 Iranian Journal of Science and Technology. Transaction A: Science
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Optimization Letters
3 Involve
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Biology
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Computing
2 Fasciculi Mathematici
2 Journal of Soviet Mathematics
2 Le Matematiche
2 Bulletin of the Iranian Mathematical Society
2 Journal of Complexity
2 Discrete & Computational Geometry
2 Facta Universitatis. Series Mathematics and Informatics
2 Science in China. Series A
2 Journal of Parallel and Distributed Computing
2 Mathematical Programming. Series A. Series B
2 The Journal of Analysis
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