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Shrock, Robert E.

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Author ID: shrock.robert-e Recent zbMATH articles by "Shrock, Robert E."
Published as: Shrock, R.; Shrock, R. E.; Shrock, Robert; Shrock, Robert E.
Documents Indexed: 59 Publications since 1989, including 2 Books

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 336 times in 176 Documents Cited by Year
Spanning trees on graphs and lattices in \(d\) dimensions. Zbl 0949.05041
Shrock, Robert; Wu, F. Y.
52
2000
Algebras of diffeomorphisms of the N-torus. Zbl 0733.17014
Ramos, E.; Sah, C. H.; Shrock, R. E.
19
1990
Exact Potts model partition function on strips of the triangular lattice. Zbl 1052.82513
Chang, S.-C.; Shrock, R.
16
2000
A little statistical mechanics for the graph theorist. Zbl 1223.05125
Beaudin, Laura; Ellis-Monaghan, Joanna; Pangborn, Greta; Shrock, Robert
14
2010
Exact Potts model partition functions for strips of the square lattice. Zbl 1015.82006
Chang, Shu-Chiuan; Salas, Jesús; Shrock, Robert
14
2002
Chromatic polynomials and their zeros and asymptotic limits for families of graphs. Zbl 0973.05032
Shrock, Robert
14
2001
New constraints on chiral gauge theories. Zbl 0987.81514
Appelquist, Thomas; Cohen, Andrew; Schmaltz, Martin; Shrock, Robert
14
1999
A connection between complex-temperature properties of the \(1\)D and \(2\)D spin \(s\) Ising model. Zbl 1020.82526
Matveev, Victor; Shrock, Robert
13
1995
Exact Potts model partition functions on wider arbitrary-length strips of the square lattice. Zbl 0978.82021
Chang, S.-C.; Shrock, R.
12
2001
Some exact results for spanning trees on lattices. Zbl 1122.82019
Chang, Shu-Chiuan; Shrock, Robert
11
2006
Exact Potts model partition functions for strips of the triangular lattice. Zbl 1061.82009
Chang, Shu-Chiuan; Jacobsen, Jesper Lykke; Salas, Jesús; Shrock, Robert
10
2004
Tutte polynomials and related asymptotic limiting functions for recursive families of graphs. Zbl 1041.05027
Chang, Shu-Chiuan; Shrock, Robert
10
2004
Structural properties of Potts model partition functions and chromatic polynomials for lattice strips. Zbl 0978.82023
Chang, Shy-Chiuan; Shrock, Robert
10
2001
Zeros of Jones polynomials for families of knots and links. Zbl 0979.57004
Chang, S.-C.; Shrock, R.
9
2001
\(T=0\) partition functions for Potts antiferromagnets on square lattice strips with (twisted) periodic boundary conditions. Zbl 0958.82006
Biggs, Norman; Shrock, Robert
9
1999
Exact Potts model partition functions on strips of the honeycomb lattice. Zbl 0978.82020
Chang, S.-C.; Shrock, R.
8
2001
Structure of the partition function and transfer matrices for the Potts model in a magnetic field on lattice strips. Zbl 1191.82008
Chang, Shu-Chiuan; Shrock, Robert
7
2009
Ground state entropy of the Potts antiferromagnet on strips of the square lattice. Zbl 0972.82023
Chang, S.-C.; Shrock, R.
7
2001
Potts model partition functions for self-dual families of strip graphs. Zbl 0978.82024
Chang, Shu-Chiuan; Shrock, Robert
6
2001
\(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology. Zbl 0955.82012
Shrock, Robert
6
1999
Exact Potts/Tutte polynomials for polygon chain graphs. Zbl 1220.82028
Shrock, Robert
5
2011
Weighted-set graph colorings. Zbl 1191.82016
Shrock, Robert; Xu, Yan
5
2010
Reliability polynomials and their asymptotic limits for families of graphs. Zbl 1118.82301
Chang, Shu-Chiuan; Shrock, Robert
5
2003
Exact partition function for the Potts model with next-nearest neighbor couplings on arbitrary-length ladders. Zbl 1192.82019
Chang, Shu-Chiuan; Shrock, Robert
5
2001
Weighted graph colorings. Zbl 1195.82012
Chang, Shu-Chiuan; Shrock, Robert
4
2010
Some exact results on the Potts model partition function in a magnetic field. Zbl 1179.82026
Chang, Shu-Chiuan; Shrock, Robert
4
2009
Ground-state entropy of the Potts antiferromagnet on cyclic strip graphs. Zbl 0946.82012
Shrock, Robert; Tsai, Shan-Ho
4
1999
Complex-temperature singularities in the \(d=2\) Ising model: triangular and honeycomb lattices. Zbl 1050.82510
Matveev, Victor; Shrock, Robert
4
1996
Complex-temperature properties of the Ising model on 2D heteropolygonal lattices. Zbl 0868.60103
Matveev, Victor; Shrock, Robert
4
1995
Exact results on Potts model partition functions in a generalized external field and weighted-set graph colorings. Zbl 1205.82058
Shrock, Robert; Xu, Yan
3
2010
\(T=0\) partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions. Zbl 0972.82032
Chang, S.-C.; Shrock, R.
3
2001
Ground state entropy in Potts antiferromagnets and chromatic polynomials. Zbl 1052.82526
Shrock, R.; Tsai, S.-H.
3
1999
A mapping relating complex and physical temperatures in the 2D \(q\)-state Potts model and some applications. Zbl 0935.82008
Feldmann, Heiko; Shrock, Robert; Tsai, Shan-Ho
3
1997
Exact partition functions for the \(q\)-state Potts model with a generalized magnetic field on lattice strip graphs. Zbl 1329.82021
Chang, Shu-Chiuan; Shrock, Robert
2
2015
Partition function zeros of a restricted Potts model on self-dual strips of the square lattice. Zbl 1114.82005
Chang, Shu-Chiuan; Shrock, Robert
2
2007
Partition function zeros of a restricted Potts model on lattice strips and effects of boundary conditions. Zbl 1114.82010
Chang, Shu-Chiuan; Shrock, Robert
2
2006
Flow polynomials and their asymptotic limits for lattice strip graphs. Zbl 1035.82011
Chang, Shu-Chiuan; Shrock, Robert
2
2003
Some new results on Yang-Lee zeros of the Ising model partition function. Zbl 0972.82513
Matveev, Victor; Shrock, Robert
2
1996
Infinite-dimensional \({\mathbb{Z}}^ N\) indexed Lie algebras and their supersymmetric generalizations. Zbl 0706.17013
Ramos, Eduardo; Shrock, Robert E.
2
1989
Zeros of the Potts model partition function on Sierpinski graphs. Zbl 1428.82006
Chang, Shu-Chiuan; Shrock, Robert
1
2013
The structure of chromatic polynomials of planar triangulations and implications for chromatic zeros and asymptotic limiting quantities. Zbl 1244.05121
Shrock, Robert; Xu, Yan
1
2012
Chromatic polynomials of planar triangulations, the Tutte upper bound and chromatic zeros. Zbl 1241.05051
Shrock, Robert; Xu, Yan
1
2012
On properties of the Ising model for complex energy/temperature and magnetic field. Zbl 1148.82007
Matveev, Victor; Shrock, Robert
1
2008
Zeros of the Potts model partition function in the large-\(q\) limit. Zbl 1120.82004
Chang, Shu-Chiuan; Shrock, Robert
1
2007
General structural results for Potts model partition functions on lattice strips. Zbl 1001.82030
Chang, Shuchiuan; Shrock, Robert
1
2002
Ground state entropy of the Potts antiferromagnet on triangular lattice strips. Zbl 1046.82505
Chang, Shu-Chiuan; Shrock, Robert
1
2001
Ground state entropy of Potts antiferromagnets on cyclic polygon chain graphs. Zbl 0938.82023
Shrock, Robert; Tsai, Shan-Ho
1
1999
Study of the Potts model on the honeycomb and triangular lattices: Low-temperature series and partition function zeros. Zbl 0919.60081
Feldmann, Heiko; Guttmann, Anthony J.; Jensen, Iwan; Shrock, Robert; Tsai, Shan-Ho
1
1998
Ground state entropy and the \(q=3\) Potts antiferromagnet on the honeycomb lattice. Zbl 0941.82035
Shrock, Robert; Tsai, Shan-Ho
1
1997
Zeros of the partition function for higher-spin 2D Ising models. Zbl 0877.60061
Matveev, Victor; Shrock, Robert
1
1995
Exact partition functions for the \(q\)-state Potts model with a generalized magnetic field on lattice strip graphs. Zbl 1329.82021
Chang, Shu-Chiuan; Shrock, Robert
2
2015
Zeros of the Potts model partition function on Sierpinski graphs. Zbl 1428.82006
Chang, Shu-Chiuan; Shrock, Robert
1
2013
The structure of chromatic polynomials of planar triangulations and implications for chromatic zeros and asymptotic limiting quantities. Zbl 1244.05121
Shrock, Robert; Xu, Yan
1
2012
Chromatic polynomials of planar triangulations, the Tutte upper bound and chromatic zeros. Zbl 1241.05051
Shrock, Robert; Xu, Yan
1
2012
Exact Potts/Tutte polynomials for polygon chain graphs. Zbl 1220.82028
Shrock, Robert
5
2011
A little statistical mechanics for the graph theorist. Zbl 1223.05125
Beaudin, Laura; Ellis-Monaghan, Joanna; Pangborn, Greta; Shrock, Robert
14
2010
Weighted-set graph colorings. Zbl 1191.82016
Shrock, Robert; Xu, Yan
5
2010
Weighted graph colorings. Zbl 1195.82012
Chang, Shu-Chiuan; Shrock, Robert
4
2010
Exact results on Potts model partition functions in a generalized external field and weighted-set graph colorings. Zbl 1205.82058
Shrock, Robert; Xu, Yan
3
2010
Structure of the partition function and transfer matrices for the Potts model in a magnetic field on lattice strips. Zbl 1191.82008
Chang, Shu-Chiuan; Shrock, Robert
7
2009
Some exact results on the Potts model partition function in a magnetic field. Zbl 1179.82026
Chang, Shu-Chiuan; Shrock, Robert
4
2009
On properties of the Ising model for complex energy/temperature and magnetic field. Zbl 1148.82007
Matveev, Victor; Shrock, Robert
1
2008
Partition function zeros of a restricted Potts model on self-dual strips of the square lattice. Zbl 1114.82005
Chang, Shu-Chiuan; Shrock, Robert
2
2007
Zeros of the Potts model partition function in the large-\(q\) limit. Zbl 1120.82004
Chang, Shu-Chiuan; Shrock, Robert
1
2007
Some exact results for spanning trees on lattices. Zbl 1122.82019
Chang, Shu-Chiuan; Shrock, Robert
11
2006
Partition function zeros of a restricted Potts model on lattice strips and effects of boundary conditions. Zbl 1114.82010
Chang, Shu-Chiuan; Shrock, Robert
2
2006
Exact Potts model partition functions for strips of the triangular lattice. Zbl 1061.82009
Chang, Shu-Chiuan; Jacobsen, Jesper Lykke; Salas, Jesús; Shrock, Robert
10
2004
Tutte polynomials and related asymptotic limiting functions for recursive families of graphs. Zbl 1041.05027
Chang, Shu-Chiuan; Shrock, Robert
10
2004
Reliability polynomials and their asymptotic limits for families of graphs. Zbl 1118.82301
Chang, Shu-Chiuan; Shrock, Robert
5
2003
Flow polynomials and their asymptotic limits for lattice strip graphs. Zbl 1035.82011
Chang, Shu-Chiuan; Shrock, Robert
2
2003
Exact Potts model partition functions for strips of the square lattice. Zbl 1015.82006
Chang, Shu-Chiuan; Salas, Jesús; Shrock, Robert
14
2002
General structural results for Potts model partition functions on lattice strips. Zbl 1001.82030
Chang, Shuchiuan; Shrock, Robert
1
2002
Chromatic polynomials and their zeros and asymptotic limits for families of graphs. Zbl 0973.05032
Shrock, Robert
14
2001
Exact Potts model partition functions on wider arbitrary-length strips of the square lattice. Zbl 0978.82021
Chang, S.-C.; Shrock, R.
12
2001
Structural properties of Potts model partition functions and chromatic polynomials for lattice strips. Zbl 0978.82023
Chang, Shy-Chiuan; Shrock, Robert
10
2001
Zeros of Jones polynomials for families of knots and links. Zbl 0979.57004
Chang, S.-C.; Shrock, R.
9
2001
Exact Potts model partition functions on strips of the honeycomb lattice. Zbl 0978.82020
Chang, S.-C.; Shrock, R.
8
2001
Ground state entropy of the Potts antiferromagnet on strips of the square lattice. Zbl 0972.82023
Chang, S.-C.; Shrock, R.
7
2001
Potts model partition functions for self-dual families of strip graphs. Zbl 0978.82024
Chang, Shu-Chiuan; Shrock, Robert
6
2001
Exact partition function for the Potts model with next-nearest neighbor couplings on arbitrary-length ladders. Zbl 1192.82019
Chang, Shu-Chiuan; Shrock, Robert
5
2001
\(T=0\) partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions. Zbl 0972.82032
Chang, S.-C.; Shrock, R.
3
2001
Ground state entropy of the Potts antiferromagnet on triangular lattice strips. Zbl 1046.82505
Chang, Shu-Chiuan; Shrock, Robert
1
2001
Spanning trees on graphs and lattices in \(d\) dimensions. Zbl 0949.05041
Shrock, Robert; Wu, F. Y.
52
2000
Exact Potts model partition function on strips of the triangular lattice. Zbl 1052.82513
Chang, S.-C.; Shrock, R.
16
2000
New constraints on chiral gauge theories. Zbl 0987.81514
Appelquist, Thomas; Cohen, Andrew; Schmaltz, Martin; Shrock, Robert
14
1999
\(T=0\) partition functions for Potts antiferromagnets on square lattice strips with (twisted) periodic boundary conditions. Zbl 0958.82006
Biggs, Norman; Shrock, Robert
9
1999
\(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology. Zbl 0955.82012
Shrock, Robert
6
1999
Ground-state entropy of the Potts antiferromagnet on cyclic strip graphs. Zbl 0946.82012
Shrock, Robert; Tsai, Shan-Ho
4
1999
Ground state entropy in Potts antiferromagnets and chromatic polynomials. Zbl 1052.82526
Shrock, R.; Tsai, S.-H.
3
1999
Ground state entropy of Potts antiferromagnets on cyclic polygon chain graphs. Zbl 0938.82023
Shrock, Robert; Tsai, Shan-Ho
1
1999
Study of the Potts model on the honeycomb and triangular lattices: Low-temperature series and partition function zeros. Zbl 0919.60081
Feldmann, Heiko; Guttmann, Anthony J.; Jensen, Iwan; Shrock, Robert; Tsai, Shan-Ho
1
1998
A mapping relating complex and physical temperatures in the 2D \(q\)-state Potts model and some applications. Zbl 0935.82008
Feldmann, Heiko; Shrock, Robert; Tsai, Shan-Ho
3
1997
Ground state entropy and the \(q=3\) Potts antiferromagnet on the honeycomb lattice. Zbl 0941.82035
Shrock, Robert; Tsai, Shan-Ho
1
1997
Complex-temperature singularities in the \(d=2\) Ising model: triangular and honeycomb lattices. Zbl 1050.82510
Matveev, Victor; Shrock, Robert
4
1996
Some new results on Yang-Lee zeros of the Ising model partition function. Zbl 0972.82513
Matveev, Victor; Shrock, Robert
2
1996
A connection between complex-temperature properties of the \(1\)D and \(2\)D spin \(s\) Ising model. Zbl 1020.82526
Matveev, Victor; Shrock, Robert
13
1995
Complex-temperature properties of the Ising model on 2D heteropolygonal lattices. Zbl 0868.60103
Matveev, Victor; Shrock, Robert
4
1995
Zeros of the partition function for higher-spin 2D Ising models. Zbl 0877.60061
Matveev, Victor; Shrock, Robert
1
1995
Algebras of diffeomorphisms of the N-torus. Zbl 0733.17014
Ramos, E.; Sah, C. H.; Shrock, R. E.
19
1990
Infinite-dimensional \({\mathbb{Z}}^ N\) indexed Lie algebras and their supersymmetric generalizations. Zbl 0706.17013
Ramos, Eduardo; Shrock, Robert E.
2
1989
all top 5

Cited by 265 Authors

25 Shrock, Robert E.
19 Chang, Shu-Chiuan
10 Zhang, Fuji
8 Mednykh, Il’ya Aleksandrovich
8 Yan, Weigen
6 Jin, Xian’an
6 Sokal, Alan D.
5 Brown, Jason Ira
5 Jacobsen, Jesper Lykke
5 Mednykh, Aleksandr Dmitrievich
4 Biggs, Norman L.
4 Liu, Jia-bao
4 Salas, Jesús
4 Zhang, Zhongzhi
3 Comellas, Francesc
3 Ellis-Monaghan, Joanna A.
3 Eswara Rao, Senapathi
3 Hou, Yaoping
3 Janke, Wolfhard
3 Kenna, Ralph
3 Kwon, Young Soo
3 Li, Shuli
3 Liao, Yunhua
3 Lin, Weiqiang
3 Moffatt, Iain
3 Pan, Xiangfeng
3 Roeder, Roland K. W.
3 Tan, Shao Bin
2 Abrosimov, Nikolaĭ Vladimirovich
2 Azcoiti, Vicente
2 Aziz-Alaoui, Moulay-Ahmed
2 Baĭgonakova, Gal’ya Amanboldynovna
2 Bleher, Pavel M.
2 Champanerkar, Abhijit
2 Chen, Hanlin
2 Follana, Eduardo
2 Gong, Helin
2 Jiang, Cuipo
2 Johnston, Desmond A.
2 Kochol, Martin
2 Kofman, Ilya
2 Lian, Haifeng
2 Liu, Genqiang
2 Lyubich, Mikhail Yur’evich
2 Ma, Fei
2 Matveev, Viktor Anatol’evich
2 Myers, Robert C.
2 Pufu, Silviu S.
2 Schrijver, Alexander
2 Sun, Weigang
2 Teufl, Elmar
2 Wagner, Stephan G.
2 Wu, Bin
2 Xu, Yan
2 Yao, Bing
2 Zhang, Jingyuan
2 Zhao, Kaiming
1 Armoni, Adi
1 Bajnok, Zoltán
1 Barranco, Alejandro
1 Beaudin, Laura
1 Bena, Ioana
1 Billiot, Jean-Michel
1 Biskup, Marek
1 Bogachev, Leonid V.
1 Bolognesi, Stefano
1 Bonato, Anthony
1 Borgs, Christian
1 Bychkov, Boris S.
1 Calixto, Manuel
1 Canfora, Fabrizio
1 Cao, Jinde
1 Casini, Horacio
1 Chayes, Jennifer Tour
1 Chen, Cui
1 Chen, Fangyue
1 Chen, Guanrong
1 Chen, Haiyan
1 Chen, Lung-Chi
1 Chen, Yazhe
1 Chen, Yi-Chiuan
1 Chen, Zhibo
1 Chester, Shai M.
1 Chinta, Gautam
1 Cinkir, Zubeyir
1 Ciucu, Mihai
1 Codello, Alessandro
1 Corset, Franck
1 Cortese, Giuliana
1 Cox, Danielle
1 Dai, Wusheng
1 Debnath, Joyati
1 DeGagné, C. D. C.
1 Deng, Hanyuan
1 Deng, Kecai
1 Ding, Qingyan
1 Draisma, Jan
1 Droz, Michel
1 Dzhumadil’daev, Askar Serkulovich
1 EL Khattabi, Noussaima
...and 165 more Authors
all top 5

Cited in 63 Serials

23 Journal of Statistical Physics
12 Physica A
10 Nuclear Physics. B
9 Journal of High Energy Physics
7 Journal of Combinatorial Theory. Series B
6 International Journal of Modern Physics B
6 Discrete Mathematics
6 Journal of Mathematical Physics
6 Applied Mathematics and Computation
5 Journal of Mathematical Chemistry
4 Communications in Mathematical Physics
4 Advances in Applied Mathematics
4 Journal of Physics A: Mathematical and Theoretical
3 Communications in Algebra
3 Journal of Algebra
3 Journal of Combinatorial Theory. Series A
3 Linear Algebra and its Applications
3 Journal of Statistical Mechanics: Theory and Experiment
2 Discrete Applied Mathematics
2 Physics Letters. A
2 Journal of Pure and Applied Algebra
2 Theoretical Computer Science
2 European Journal of Combinatorics
2 Journal of Knot Theory and its Ramifications
2 Journal of Algebraic Combinatorics
2 Nuclear Physics, B, Proceedings Supplements
2 Algebra Colloquium
2 Doklady Mathematics
2 Annals of Combinatorics
2 LMS Journal of Computation and Mathematics
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 International Journal of Modern Physics A
1 Computer Physics Communications
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Glasgow Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Nagoya Mathematical Journal
1 Networks
1 Graphs and Combinatorics
1 Applied Mathematics Letters
1 The Journal of Geometric Analysis
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Indagationes Mathematicae. New Series
1 ELA. The Electronic Journal of Linear Algebra
1 The Ramanujan Journal
1 Abstract and Applied Analysis
1 Chaos
1 Discrete Dynamics in Nature and Society
1 Algebraic & Geometric Topology
1 Journal of Applied Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Ars Mathematica Contemporanea
1 International Journal of Combinatorics
1 Science China. Mathematics
1 Journal of Applied Analysis and Computation
1 Zeitschrift für Physik, C
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 Open Mathematics

Citations by Year