Dr Mark Walters

Emeritus Reader in Pure Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Publications
Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory2025
Random geometric graphs in reflexive Banach spacesBalogh J Walters M Zsák A
Journal of Functional Analysis, Elsevier Bv vol. 289 (11), 111112-111112.
01-12-2025
2024
Optimal resistor networksJohnson JR Walters M
Mathematika, Wiley vol. 70 (4)
06-09-2024
2022
Constructible graphs and pursuitIvan M-R Leader I Walters M
Theoretical Computer Science, Elsevier Bv vol. 930, 196-208.
01-09-2022
2020
Product-free sets in the free semigroupLeader I Letzter S Narayanan B Walters M
European Journal of Combinatorics, Elsevier Bv vol. 83, 103003-103003.
01-01-2020
2018
Random geometric graphs and isometries of normed spacesBalister P Bollobás B Gunderson K Leader I Walters M
Transactions of The American Mathematical Society, American Mathematical Society (Ams) vol. 370 (10), 7361-7389.
20-06-2018
2017
Transitive Avoidance GamesJohnson JR Leader I Walters M
Electronic Journal of Combinatorics vol. 24 (1)
01-01-2017
2016
Subtended anglesBalister P Füredi Z Bollobás B Leader I Walters M
Israel Journal of Mathematics, Springer Science and Business Media Llc vol. 214 (2), 995-1012.
01-07-2016
An n-in-a-row type gameErde J Walters M
Electronic Journal of Combinatorics vol. 23 (3)
01-01-2016
2015
Sentry Selection in Sensor Networks: Theory and AlgorithmsSarkar A Haenggi M Bollobas B Balister P Walters M
International Journal of Sensor Networks, Inderscience Publishers vol. 1 (1), 1-1.
01-01-2015
2012
Probably Intersecting Families are Not NestedRUSSELL PA WALTERS M
Combinatorics, Probability and Computing, Cambridge University Press (Cup) vol. 22 (1), 146-160.
09-10-2012
Small components in -nearest neighbour graphsWalters M
Discrete Applied Mathematics, Elsevier Bv vol. 160 (13-14), 2037-2047.
01-09-2012
Sharpness in the k-Nearest-Neighbours Random Geometric Graph ModelFalgas-Ravry V Walters M
Advances in Applied Probability, Cambridge University Press (Cup) vol. 44 (3), 617-634.
01-09-2012
Sharpness in the k-Nearest-Neighbours Random Geometric Graph ModelFalgas-Ravry V Walters M
Advances in Applied Probability, Cambridge University Press (Cup) vol. 44 (03), 617-634.
01-09-2012
Transitive sets in Euclidean Ramsey theoryLeader I Russell PA Walters M
Journal of Combinatorial Theory, Series A, Elsevier Bv vol. 119 (2), 382-396.
01-02-2012
2011
Lion and man—can both win?Bollobás B Leader I Walters M
Israel Journal of Mathematics, Springer Science and Business Media Llc vol. 189 (1), 267-286.
08-09-2011
HAMILTON CYCLES IN RANDOM GEOMETRIC GRAPHSBalogh J Bollobas B Krivelevich M Muller T Walters M
Ann Appl Probab vol. 21 (3), 1053-1072.
01-06-2011
Transitive sets and cyclic quadrilateralsLeader I Russell PA Walters M
Journal of Combinatorics, International Press of Boston vol. 2 (3), 457-462.
01-01-2011
2010
Random Majority PercolationBalister P Bollobas B Johnson JR Walters M
Random Struct Algor vol. 36 (3), 315-340.
01-05-2010
Sentry Selection in Wireless NetworksBalister P Bollobás B Sarkar A Walters M
Advances in Applied Probability, Cambridge University Press (Cup) vol. 42 (01), 1-25.
01-03-2010
SENTRY SELECTION IN WIRELESS NETWORKSBalister P Bollobas B Sarkar A Walters M
Adv Appl Probab vol. 42 (1), 1-25.
01-03-2010
2009
RANDOM TRANSCEIVER NETWORKSBalister P Bollobas B Walters M
Adv Appl Probab vol. 41 (2), 323-343.
01-06-2009
Random transceiver networksBalister P Bollobás B Walters M
Advances in Applied Probability, Cambridge University Press (Cup) vol. 41 (02), 323-343.
01-06-2009
Rectangles as sums of squaresWalters M
Discrete Math vol. 309 (9), 2913-2921.
06-05-2009
A CRITICAL CONSTANT FOR THE k-NEAREST-NEIGHBOUR MODELBalister P Bollobas B Sarkar A Walters M
Adv Appl Probab vol. 41 (1), 1-12.
01-03-2009
A critical constant for the k nearest-neighbour modelBalister P Bollobás B Sarkar A Walters M
Advances in Applied Probability, Cambridge University Press (Cup) vol. 41 (01), 1-12.
01-03-2009
Highly connected random geometric graphsBalister P Bollobás B Sarkar A Walters M
Discrete Applied Mathematics, Elsevier Bv vol. 157 (2), 309-320.
01-01-2009
2008
Sentry Selection in Sensor Networks: A Sufficient Condition for k Single CoversBalister P Bollobas B Haenggi M Sarkar A Walters M
2008 IEEE International Zurich Seminar on Communications (IZS) 12 Mar 2008 - 14 Mar 2008., 106-107.
01-03-2008
Connectivity of a Gaussian networkBalister P Bollobas B Sarkar A Walters M
Int J Ad Hoc Ubiq Co vol. 3 (3), 204-213.
01-01-2008
2007
Extensions of the Polynomial Hales–Jewett TheoremWALTERS M
Combinatorics, Probability and Computing, Cambridge University Press (Cup) vol. 16 (5), 789-803.
01-09-2007
Rigorous confidence intervals for critical probabilitiesRiordan O Walters M
Physical Review E, American Physical Society (Aps) vol. 76 (1)
17-07-2007
2005
Continuum percolation with steps in the square or the discBalister P Bollobás B Walters M
Random Structures &Amp; Algorithms, Wiley vol. 26 (4), 392-403.
07-04-2005
Connectivity of random k-nearest-neighbour graphsBalister P Bollobás B Sarkar A Walters M
Advances in Applied Probability, Cambridge University Press (Cup) vol. 37 (1), 1-24.
01-03-2005
Connectivity of random k-nearest-neighbour graphsBalister P Bollobás B Sarkar A Walters M
Advances in Applied Probability, Cambridge University Press (Cup) vol. 37 (01), 1-24.
01-03-2005
2004
Continuum percolation with steps in an annulusBalister P Bollobás B Walters M
The Annals of Applied Probability, Institute of Mathematical Statistics vol. 14 (4)
01-11-2004
Research Group
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