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Author ID: wierman.john-c Recent zbMATH articles by "Wierman, John C."
Published as: Wierman, John C.; Wierman, John; Wierman, J. C.
External Links: MGP · ORCID
Documents Indexed: 86 Publications since 1977, including 1 Book
Co-Authors: 46 Co-Authors with 54 Joint Publications
722 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 389 times in 313 Documents Cited by Year
Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction. Zbl 1429.68037
Wierman, John C.; Marchette, David J.
57
2004
First-passage percolation on the square lattice. Zbl 0379.60001
Smythe, R. T.; Wierman, John C.
55
1978
The structure of a random graph at the point of the phase transition. Zbl 0807.05065
Łuczak, Tomasz; Pittel, Boris; Wierman, John C.
44
1994
Bond percolation on honeycomb and triangular lattices. Zbl 0457.60085
Wierman, John C.
26
1981
On the Berry-Esseen theorem for U-statistics. Zbl 0381.60022
Chan, Y.-K.; Wierman, John
18
1977
Substitution method critical probability bounds for the square lattice site percolation model. Zbl 0835.60089
Wierman, John C.
16
1995
Subgraph counts in random graphs using incomplete U-statistics methods. Zbl 0672.05072
Nowicki, Krzysztof; Wierman, John C.
12
1988
Relative density of the random \(R\)-factor proximity catch digraph for testing spatial patterns of segregation and association. Zbl 1445.62140
Ceyhan, Elvan; Priebe, Carey E.; Wierman, John C.
11
2006
First-passage percolation on the Voronoi tessellation and Delaunay triangulation. Zbl 0760.05023
Vahidi-Asl, Mohammed Q.; Wierman, John C.
10
1990
On circle containment orders. Zbl 0667.06002
Scheinerman, Edward R.; Wierman, John C.
10
1988
Optimal and near-optimal broadcast in random graphs. Zbl 0709.05031
Scheinerman, Edward R.; Wierman, John C.
9
1989
Inequalities for means of restricted first-passage times in percolation theory. Zbl 0951.60093
Alm, Sven Erick; Wierman, John C.
9
1999
A shape result for first-passage percolation on the Voronoi tessellation and Delaunay triangulation. Zbl 0816.60099
Vahidi-Asl, Mohammad Q.; Wierman, John C.
8
1992
A SLLN for a one-dimensional class cover problem. Zbl 1018.60031
DeVinney, Jason; Wierman, John C.
7
2002
The chromatic number of random graphs at the double-jump threshold. Zbl 0715.05056
Łuczak, T.; Wierman, J. C.
6
1989
Subgraph counts and containment probabilities of balanced and unbalanced subgraphs in a large random graph. Zbl 0792.05122
Bollobás, Béla; Wierman, John C.
6
1989
On conjectures in first passage percolation theory. Zbl 0394.60084
Wierman, John C.; Reh, Wolfgang
6
1978
Using symmetry to improve percolation threshold bounds. Zbl 1074.82525
May, William D.; Wierman, John C.
5
2005
The critical manifolds of inhomogeneous bond percolation on bow-tie and checkerboard lattices. Zbl 1257.82055
Ziff, Robert M.; Scullard, Christian R.; Wierman, John C.; Sedlock, Matthew R. A.
5
2012
Lower bounds for the critical probability in percolation models with oriented bonds. Zbl 0464.60098
Gray, Lawrence; Wierman, John C.; Smythe, R. T.
5
1980
A general SLLN for the one-dimensional class cover problem. Zbl 1137.62042
Wierman, John C.; Xiang, Pengfei
4
2008
Critical probability bounds for two-dimensional site percolation models. Zbl 0658.60135
Łuczak, Tomasz; Wierman, John C.
4
1988
A CLT for a one-dimensional class cover problem. Zbl 1157.60017
Xiang, Pengfei; Wierman, John C.
4
2009
An improved upper bound for the hexagonal lattice site percolation critical probability. Zbl 1012.60011
Wierman, John C.
4
2002
Equality of directional critical exponents in multiparameter percolation models. Zbl 0844.60092
Wierman, John C.
3
1994
Upper and lower bounds for the route length of first-passage percolation in Voronoi tessellations. Zbl 0802.60096
Vahidi-Asl, Mohammad Q.; Wierman, John C.
3
1993
The application of non-crossing partitions to improving percolation threshold bounds. Zbl 1120.05006
May, William D.; Wierman, John C.
3
2007
On critical probabilities in percolation theory. Zbl 0416.60099
Wierman, John C.
3
1978
Upper and lower bounds for the Kagomé lattice bond percolation critical probability. Zbl 1012.82006
Wierman, John C.
3
2003
Self-dual planar hypergraphs and exact bond percolation thresholds. Zbl 1217.05172
Wierman, John C.; Ziff, Robert M.
3
2011
Recent improvements to the substitution method for bounding percolation thresholds. Zbl 1042.60067
May, William D.; Wierman, John C.
2
2003
Tight bounds for the bond percolation threshold of the \((3,12^{2})\) lattice. Zbl 1355.82017
Wierman, John C.
2
2016
On bond percolation threshold bounds for Archimedean lattices with degree three. Zbl 1368.82012
Wierman, John C.
2
2017
Perfect domination ratios of Archimedean lattices. Zbl 1420.05138
Zhao, Yunfan; Wierman, John C.; Marge, Thomas
2
2018
Percolation theory. Zbl 0485.60100
Wierman, John C.
2
1982
Bond percolation critical probability bounds for the Kagomé lattice by a substitution method. Zbl 0718.60111
Wierman, John C.
2
1990
Site percolation critical probability bounds for the \((4,8^2)\) and \((4,6,12)\) lattices. Zbl 0989.82021
Wierman, John C.
2
2001
Bond percolation critical probability bounds for three Archimedean lattices. Zbl 1004.60098
Wierman, John C.
2
2002
A disproof of Tsallis’ bond percolation threshold conjecture for the Kagome lattice. Zbl 1325.82012
Wierman, John C.; Yu, Gaoran; Huang, Theodore
2
2015
Pairs of graphs with site and bond percolation critical probabilities in opposite orders. Zbl 1038.60095
Wierman, John C.
1
2003
Counterexamples in percolation: The site percolation critical probabilities \(p_ H\) and \(p_ T\) are unequal for a class of fully triangulated graphs. Zbl 0534.60094
Wierman, John C.
1
1984
Efficient and non-efficient domination of Archimedean lattices. Zbl 1420.05134
Marge, Thomas; Zhao, Yunfan; Wierman, John C.
1
2018
The front velocity of the simple epidemic. Zbl 0431.92028
Wierman, John C.
1
1979
Mixed percolation on the square lattice. Zbl 0542.60096
Wierman, John C.
1
1984
Counterexamples in AB percolation. Zbl 0683.60084
Łuczak, Tomasz; Wierman, John C.
1
1989
AB percolation: A brief survey. Zbl 0719.05059
Wierman, John C.
1
1989
An upper bound for the bond percolation threshold of the cubic lattice. Zbl 1338.05251
Wierman, John C.; McCarthy, Shaun
1
2015
Equality of the bond percolation critical exponents for two pairs of dual lattices. Zbl 0802.60097
Wierman, John C.
1
1992
Inclusions and non-inclusions among the Archimedean and Laves lattices, with applications to bond percolation thresholds. Zbl 1098.05021
Parviainen, Robert; Wierman, John C.
1
2005
First-passage percolation on the square lattice. I. Zbl 0381.60101
Smythe, R. T.; Wierman, John C.
1
1977
First-passage percolation on the square lattice. II. Zbl 0372.60121
Wierman, John C.
1
1977
Perfect domination ratios of Archimedean lattices. Zbl 1420.05138
Zhao, Yunfan; Wierman, John C.; Marge, Thomas
2
2018
Efficient and non-efficient domination of Archimedean lattices. Zbl 1420.05134
Marge, Thomas; Zhao, Yunfan; Wierman, John C.
1
2018
On bond percolation threshold bounds for Archimedean lattices with degree three. Zbl 1368.82012
Wierman, John C.
2
2017
Tight bounds for the bond percolation threshold of the \((3,12^{2})\) lattice. Zbl 1355.82017
Wierman, John C.
2
2016
A disproof of Tsallis’ bond percolation threshold conjecture for the Kagome lattice. Zbl 1325.82012
Wierman, John C.; Yu, Gaoran; Huang, Theodore
2
2015
An upper bound for the bond percolation threshold of the cubic lattice. Zbl 1338.05251
Wierman, John C.; McCarthy, Shaun
1
2015
The critical manifolds of inhomogeneous bond percolation on bow-tie and checkerboard lattices. Zbl 1257.82055
Ziff, Robert M.; Scullard, Christian R.; Wierman, John C.; Sedlock, Matthew R. A.
5
2012
Self-dual planar hypergraphs and exact bond percolation thresholds. Zbl 1217.05172
Wierman, John C.; Ziff, Robert M.
3
2011
A CLT for a one-dimensional class cover problem. Zbl 1157.60017
Xiang, Pengfei; Wierman, John C.
4
2009
A general SLLN for the one-dimensional class cover problem. Zbl 1137.62042
Wierman, John C.; Xiang, Pengfei
4
2008
The application of non-crossing partitions to improving percolation threshold bounds. Zbl 1120.05006
May, William D.; Wierman, John C.
3
2007
Relative density of the random \(R\)-factor proximity catch digraph for testing spatial patterns of segregation and association. Zbl 1445.62140
Ceyhan, Elvan; Priebe, Carey E.; Wierman, John C.
11
2006
Using symmetry to improve percolation threshold bounds. Zbl 1074.82525
May, William D.; Wierman, John C.
5
2005
Inclusions and non-inclusions among the Archimedean and Laves lattices, with applications to bond percolation thresholds. Zbl 1098.05021
Parviainen, Robert; Wierman, John C.
1
2005
Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction. Zbl 1429.68037
Wierman, John C.; Marchette, David J.
57
2004
Upper and lower bounds for the Kagomé lattice bond percolation critical probability. Zbl 1012.82006
Wierman, John C.
3
2003
Recent improvements to the substitution method for bounding percolation thresholds. Zbl 1042.60067
May, William D.; Wierman, John C.
2
2003
Pairs of graphs with site and bond percolation critical probabilities in opposite orders. Zbl 1038.60095
Wierman, John C.
1
2003
A SLLN for a one-dimensional class cover problem. Zbl 1018.60031
DeVinney, Jason; Wierman, John C.
7
2002
An improved upper bound for the hexagonal lattice site percolation critical probability. Zbl 1012.60011
Wierman, John C.
4
2002
Bond percolation critical probability bounds for three Archimedean lattices. Zbl 1004.60098
Wierman, John C.
2
2002
Site percolation critical probability bounds for the \((4,8^2)\) and \((4,6,12)\) lattices. Zbl 0989.82021
Wierman, John C.
2
2001
Inequalities for means of restricted first-passage times in percolation theory. Zbl 0951.60093
Alm, Sven Erick; Wierman, John C.
9
1999
Substitution method critical probability bounds for the square lattice site percolation model. Zbl 0835.60089
Wierman, John C.
16
1995
The structure of a random graph at the point of the phase transition. Zbl 0807.05065
Łuczak, Tomasz; Pittel, Boris; Wierman, John C.
44
1994
Equality of directional critical exponents in multiparameter percolation models. Zbl 0844.60092
Wierman, John C.
3
1994
Upper and lower bounds for the route length of first-passage percolation in Voronoi tessellations. Zbl 0802.60096
Vahidi-Asl, Mohammad Q.; Wierman, John C.
3
1993
A shape result for first-passage percolation on the Voronoi tessellation and Delaunay triangulation. Zbl 0816.60099
Vahidi-Asl, Mohammad Q.; Wierman, John C.
8
1992
Equality of the bond percolation critical exponents for two pairs of dual lattices. Zbl 0802.60097
Wierman, John C.
1
1992
First-passage percolation on the Voronoi tessellation and Delaunay triangulation. Zbl 0760.05023
Vahidi-Asl, Mohammed Q.; Wierman, John C.
10
1990
Bond percolation critical probability bounds for the Kagomé lattice by a substitution method. Zbl 0718.60111
Wierman, John C.
2
1990
Optimal and near-optimal broadcast in random graphs. Zbl 0709.05031
Scheinerman, Edward R.; Wierman, John C.
9
1989
The chromatic number of random graphs at the double-jump threshold. Zbl 0715.05056
Łuczak, T.; Wierman, J. C.
6
1989
Subgraph counts and containment probabilities of balanced and unbalanced subgraphs in a large random graph. Zbl 0792.05122
Bollobás, Béla; Wierman, John C.
6
1989
Counterexamples in AB percolation. Zbl 0683.60084
Łuczak, Tomasz; Wierman, John C.
1
1989
AB percolation: A brief survey. Zbl 0719.05059
Wierman, John C.
1
1989
Subgraph counts in random graphs using incomplete U-statistics methods. Zbl 0672.05072
Nowicki, Krzysztof; Wierman, John C.
12
1988
On circle containment orders. Zbl 0667.06002
Scheinerman, Edward R.; Wierman, John C.
10
1988
Critical probability bounds for two-dimensional site percolation models. Zbl 0658.60135
Łuczak, Tomasz; Wierman, John C.
4
1988
Counterexamples in percolation: The site percolation critical probabilities \(p_ H\) and \(p_ T\) are unequal for a class of fully triangulated graphs. Zbl 0534.60094
Wierman, John C.
1
1984
Mixed percolation on the square lattice. Zbl 0542.60096
Wierman, John C.
1
1984
Percolation theory. Zbl 0485.60100
Wierman, John C.
2
1982
Bond percolation on honeycomb and triangular lattices. Zbl 0457.60085
Wierman, John C.
26
1981
Lower bounds for the critical probability in percolation models with oriented bonds. Zbl 0464.60098
Gray, Lawrence; Wierman, John C.; Smythe, R. T.
5
1980
The front velocity of the simple epidemic. Zbl 0431.92028
Wierman, John C.
1
1979
First-passage percolation on the square lattice. Zbl 0379.60001
Smythe, R. T.; Wierman, John C.
55
1978
On conjectures in first passage percolation theory. Zbl 0394.60084
Wierman, John C.; Reh, Wolfgang
6
1978
On critical probabilities in percolation theory. Zbl 0416.60099
Wierman, John C.
3
1978
On the Berry-Esseen theorem for U-statistics. Zbl 0381.60022
Chan, Y.-K.; Wierman, John
18
1977
First-passage percolation on the square lattice. I. Zbl 0381.60101
Smythe, R. T.; Wierman, John C.
1
1977
First-passage percolation on the square lattice. II. Zbl 0372.60121
Wierman, John C.
1
1977
all top 5

Cited by 428 Authors

13 Ceyhan, Elvan
13 Wierman, John C.
11 van der Hofstad, Remco W.
11 Yang, Xiaofan
10 Kesten, Harry
8 Grimmett, Geoffrey R.
8 Łuczak, Tomasz
8 Yang, Luxing
7 Bollobás, Béla
7 Ren, Jianguo
7 Zhang, Chunming
7 Zhang, Yu
6 Bhamidi, Shankar
6 Durrett, Richard Timothy
6 Pelc, Andrzej
6 Zhu, Qingyi
5 Xu, Yonghong
4 Balister, Paul N.
4 Chayes, Lincoln
4 Diks, Krzysztof
4 Nachmias, Asaf
4 Peres, Yuval
4 Pittel, Boris G.
4 Seppäläinen, Timo
3 Aizenman, Michael
3 Amador, Julia
3 Chayes, Jennifer Tour
3 Chlebus, Bogdan Stanislaw
3 Damron, Michael
3 Fountoulakis, Nikolaos
3 Gan, Chenquan
3 Hartarsky, Ivailo
3 Karoński, Michał
3 Kühn, Daniela
3 Manolescu, Ioan
3 Osthus, Deryk
3 Rassoul-Agha, Firas
3 Rempała, Grzegorz A.
3 Shao, Qi-Man
3 Wu, Yingjiang
3 Xiang, Pengfei
3 Zhang, Zizhen
3 Zhao, Yun
2 Addario-Berry, Louigi
2 Ahlberg, Daniel
2 Aldous, David John
2 Artalejo, Jesus R.
2 Bahadir, Selim
2 Błaszczyszyn, Bartłomiej
2 Broutin, Nicolas
2 Camia, Federico
2 Chatterjee, Sourav
2 De Ambroggio, Umberto
2 de Lima, Bernardo N. B.
2 Dey, Partha Sarathi
2 Ding, Jian
2 Fishburn, Peter Clingerman
2 Georgiou, Nicos
2 Gerbessiotis, Alexandros V.
2 Götze, Friedrich
2 Griffeath, David
2 Han, Xie
2 Hanson, Jack
2 Higuchi, Yasunari
2 Hirsch, Christian
2 Hooghiemstra, Gerard
2 Janson, Svante
2 Jing, Bingyi
2 Kang, Mihyun
2 Kumar, Devendra
2 Liu, Jiming
2 Lubetzky, Eyal
2 Meester, Ronald W. J.
2 Molloy, Michael S. O.
2 Muroya, Yoshiaki
2 Neuhäuser, David Werner
2 Noeiaghdam, Samad
2 Nowicki, Krzysztof
2 Penrose, Mathew D.
2 Quas, Anthony
2 Reed, Bruce Alan
2 Riordan, Oliver Maxim
2 Roberts, Matthew Iain
2 Ruciński, Andrzej
2 Russo, Lucio
2 Schmidt, Volker
2 Sen, Sanchayan
2 Sidoravicius, Vladas
2 Singh, Jagdev
2 Song, Lipeng
2 van Leeuwaarden, Johan S. H.
2 van Zwet, Willem Rutger
2 Wacker, Ulrich
2 Wang, Qiying
2 Wehr, Jan
2 Yao, Changlong
2 Yu, Gaoran
2 Zhou, Wen-Xin
2 Zhukovskiĭ, Maksim Evgen’evich
1 Abbas, Moncef
...and 328 more Authors
all top 5

Cited in 109 Serials

19 Random Structures & Algorithms
17 Probability Theory and Related Fields
15 Journal of Statistical Physics
14 The Annals of Probability
10 Discrete Applied Mathematics
10 Stochastic Processes and their Applications
9 Advances in Applied Probability
9 Discrete Mathematics
9 The Annals of Applied Probability
9 Combinatorics, Probability and Computing
9 Discrete Dynamics in Nature and Society
8 Communications in Mathematical Physics
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
6 Physica A
6 Applied Mathematics and Computation
6 Order
5 Metrika
5 Journal of Applied Probability
5 Bernoulli
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Abstract and Applied Analysis
3 The Annals of Statistics
3 Journal of Combinatorial Theory. Series B
3 Journal of Statistical Planning and Inference
3 International Journal of Computer Mathematics
3 Advances in Difference Equations
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 Physics Reports
2 Osaka Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 European Journal of Combinatorics
2 Statistics & Probability Letters
2 Applied Mathematical Modelling
2 Communications in Statistics. Theory and Methods
2 Computational Statistics and Data Analysis
2 Journal of Mathematical Sciences (New York)
2 The Electronic Journal of Combinatorics
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Brazilian Journal of Probability and Statistics
2 Stochastics
2 Electronic Journal of Statistics
1 The Canadian Journal of Statistics
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Information Processing Letters
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Theory of Probability and its Applications
1 Advances in Mathematics
1 Annals of the Institute of Statistical Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of Graph Theory
1 Journal of Multivariate Analysis
1 Journal of Soviet Mathematics
1 Quaestiones Mathematicae
1 SIAM Journal on Computing
1 Ergodic Theory and Dynamical Systems
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications
1 Journal of Classification
1 Statistics
1 Discrete & Computational Geometry
1 Econometric Reviews
1 Journal of Theoretical Probability
1 SIAM Journal on Discrete Mathematics
1 Machine Learning
1 Computational Geometry
1 Journal of Statistical Computation and Simulation
1 Bulletin of the American Mathematical Society. New Series
1 RAIRO. Informatique Théorique et Applications
1 Experimental Mathematics
1 Test
1 Fractals
1 Electronic Journal of Probability
1 Electronic Communications in Probability
1 Journal of Nonparametric Statistics
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Journal of Group Theory
1 Annals of Combinatorics
1 European Journal of Mechanics. A. Solids
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Methodology and Computing in Applied Probability
1 Nonlinear Analysis. Real World Applications
1 Communications on Pure and Applied Analysis
1 Journal of Applied Mathematics and Computing
1 Journal of Statistical Mechanics: Theory and Experiment
1 Mathematical Biosciences and Engineering
1 Statistical Methodology
1 Contributions to Discrete Mathematics
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
...and 9 more Serials

Citations by Year