Bounds on Kemeny's constant of a graph and the Nordhaus-Gaddum problem.

Stephen J. Kirkland Stephen Kirkland Department of Mathematics, University of Manitoba, Canada Hamilton Institute, National University of Ireland Maynooth, Kildare, Ireland http://server.math.umanitoba.ca/~kirkland/ http://www.hamilton.ie/skirkland/ https://scholar.google.com/citations?user=2uBGgkoAAAAJ https://mathgenealogy.org/id.php?id=16063 https://www.wikidata.org/entity/Q102167318

Sooyeong Kim Neal Madras Ada Chan Mark Kempton Stephen Kirkland Adam Knudson Bounds on Kemeny's constant of a graph and the Nordhaus-Gaddum problem. 96-115 2026 379 Discret. Appl. Math. https://doi.org/10.1016/j.dam.2025.08.012 db/journals/dam/dam379.html#KimMCKKK26 streams/journals/dam

Stephen Kirkland Yuqiao Li John S. McAlister Xiaohong Zhang Edge addition and the change in Kemeny's constant. 77-90 2025 373 Discret. Appl. Math. https://doi.org/10.1016/j.dam.2025.04.031 db/journals/dam/dam373.html#KirklandLMZ25 streams/journals/dam

Chris D. Godsil Stephen Kirkland Hermie Monterde Perfect State Transfer Between Real Pure States. 2093-2115 2025 46 SIAM J. Matrix Anal. Appl. 3 https://doi.org/10.1137/25m1734075 db/journals/siammax/siammax46.html#GodsilKM25 streams/journals/siammax

Sooyeong Kim Hermie Monterde Bahman Ahmadi Ada Chan Stephen Kirkland Sarah Plosker A generalization of quantum pair state transfer. 369 2024 November 23 Quantum Inf. Process. 11 https://doi.org/10.1007/s11128-024-04574-9 db/journals/qip/qip23.html#KimMACKP24 streams/journals/qip

R. B. Bapat 0001 Manjunatha Prasad Karantha Stephen J. Kirkland Simo Puntanen S. Arumugam Preface. 106-107 2023 May 20 AKCE Int. J. Graphs Comb. 2 https://doi.org/10.1080/09728600.2023.2249777 db/journals/akcej/akcej20.html#BapatKKPA23

Stephen Kirkland Christopher M. van Bommel State transfer on paths with weighted loops. 209 2022 21 Quantum Inf. Process. 6 https://doi.org/10.1007/s11128-022-03558-x db/journals/qip/qip21.html#KirklandB22

Stephen Kirkland Zhisheng Shuai Pauline van den Driessche Xueying Wang 0004 Impact of Varying Community Networks on Disease Invasion. 1166-1189 2021 81 SIAM J. Appl. Math. 3 https://doi.org/10.1137/20M1328762 https://www.wikidata.org/entity/Q119971767 db/journals/siamam/siamam81.html#KirklandSDW21

Deepak Ajwani Adam Hackett Shoukat Ali John P. Morrison Stephen Kirkland Co-optimizing application partitioning and network topology for a reconfigurable interconnect. 12-26 2016 96 J. Parallel Distributed Comput. https://doi.org/10.1016/j.jpdc.2016.04.010 db/journals/jpdc/jpdc96.html#AjwaniHAMK16

Arieh Schlote Emanuele Crisostomi Stephen Kirkland Robert Shorten Traffic modelling framework for electric vehicles. 880-897 2012 85 Int. J. Control 7 https://doi.org/10.1080/00207179.2012.668716 db/journals/ijcon/ijcon85.html#SchloteCKS12

Emanuele Crisostomi Stephen Kirkland Robert Shorten A Google-like model of road network dynamics and its application to regulation and control. 633-651 2011 84 Int. J. Control 3 https://doi.org/10.1080/00207179.2011.568005 https://www.wikidata.org/entity/Q56777298 db/journals/ijcon/ijcon84.html#CrisostomiKS11

Annalisa Zappavigna Patrizio Colaneri Stephen Kirkland Robert Shorten A scaling and squaring method for the discretisation of positive switched systems. 4084-4089 2011 CDC/ECC https://doi.org/10.1109/CDC.2011.6160916 conf/cdc/2011 db/conf/cdc/cdc2011.html#ZappavignaCKS11

Minerva Catral Stephen J. Kirkland Michael Neumann Nung-Sing Sze The Kemeny Constant for Finite Homogeneous Ergodic Markov Chains. 151-166 2010 45 J. Sci. Comput. 1-3 https://doi.org/10.1007/s10915-010-9382-1 https://www.wikidata.org/entity/Q56750916 db/journals/jscic/jscic45.html#CatralKNS10

Stephen J. Kirkland Michael Neumann Nung-Sing Sze On optimal condition numbers for Markov chains. 521-537 2008 110 Numerische Mathematik 4 https://doi.org/10.1007/s00211-008-0172-8 db/journals/nm/nm110.html#KirklandNS08

Stephen Kirkland Chi-Kwong Li Sebastian J. Schreiber On the Evolution of Dispersal in Patchy Landscapes. 1366-1382 2006 66 SIAM J. Appl. Math. 4 https://doi.org/10.1137/050628933 db/journals/siamam/siamam66.html#KirklandLS06

Richard A. Brualdi Stephen J. Kirkland Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers. 334-351 2005 94 J. Comb. Theory B 2 https://doi.org/10.1016/j.jctb.2005.02.001 db/journals/jct/jctb94.html#BrualdiK05

Shaun M. Fallat Stephen J. Kirkland Jason J. Molitierno Michael Neumann On graphs whose Laplacian matrices have distinct integer eigenvalues. 162-174 2005 50 J. Graph Theory 2 https://doi.org/10.1002/jgt.20102 db/journals/jgt/jgt50.html#FallatKMN05

Stephen J. Kirkland Michael Neumann Jianhong Xu Convexity and Elasticity of the Growth Rate in Size-Classified Population Models. 170-185 2004 26 SIAM J. Matrix Anal. Appl. 1 https://doi.org/10.1137/S0895479802411031 db/journals/siammax/siammax26.html#KirklandNX04

Stephen J. Kirkland Digraph-based Conditioning for Markov Chains. 215-216 2003 conf/posta/2003 POSTA https://doi.org/10.1007/978-3-540-44928-7_29 db/conf/posta/posta2003.html#Kirkland03

Stephen Kirkland On a Question Concerning Condition Numbers for Markov Chains. 1109-1119 2002 23 SIAM J. Matrix Anal. Appl. 4 https://doi.org/10.1137/S0895479801390947 db/journals/siammax/siammax23.html#Kirkland02

Stephen J. Kirkland Michael Neumann N. Ormes Jianhong Xu On the Elasticity of the Perron Root of a Nonnegative Matrix. 454-464 2002 24 SIAM J. Matrix Anal. Appl. 2 https://doi.org/10.1137/S0895479801398244 db/journals/siammax/siammax24.html#KirklandNOX02

Stephen J. Kirkland Michael Neumann Jianhong Xu A divide and conquer approach to computing the mean first passage matrix for Markov chains via Perron complement reductions. 287-295 2001 8 Numer. Linear Algebra Appl. 5 https://doi.org/10.1002/nla.242 db/journals/nla/nla8.html#KirklandNX01

Carolyn Eschenbach Frank J. Hall Rohan Hemasinha Stephen Kirkland Zhongshan Li Bryan L. Shader Jeffrey Stuart James Weaver Properties of Tournaments among Well-Matched Players. 881-892 2000 107 Am. Math. Mon. 10 http://www.jstor.org/stable/2695581 db/journals/tamm/tamm107.html#EschenbachHHKLSSW00

Stephen J. Kirkland Michael Neumann Cutpoint Decoupling and First Passage Times for Random Walks on Graphs. 860-870 1999 20 SIAM J. Matrix Anal. Appl. 4 https://doi.org/10.1137/S0895479897318800 db/journals/siammax/siammax20.html#KirklandN99

Stephen J. Kirkland Michael Neumann The M-Matrix Group Generalized Inverse Problem for Weighted Trees. 226-234 1998 January 19 SIAM J. Matrix Anal. Appl. 1 https://doi.org/10.1137/s0895479896304927 db/journals/siammax/siammax19.html#KirklandN98

Ernesto Dedó Norma Zagaglia Salvi Stephen J. Kirkland A Particular Class Of Bigraphs. 1997 45 Ars Comb. db/journals/arscom/arscom45.html#DedoSK97

Stephen J. Kirkland Michael Neumann Bryan L. Shader Distances in Weighted Trees and Group Inverse of Laplacian Matrices. 827-841 1997 October 18 SIAM J. Matrix Anal. Appl. 4 https://doi.org/10.1137/s0895479896298713 db/journals/siammax/siammax18.html#KirklandNS97

Stephen J. Kirkland Norman J. Pullman The polytope of generalized tournament matrices with a common integral score vector. 1996 44 Ars Comb. db/journals/arscom/arscom44.html#KirklandP96

Stephen J. Kirkland Michael Neumann Convexity and Concavity of the Perron Root and Vector of Leslie Matrices with Applications to a Population Model. 1092-1107 1994 October 15 SIAM J. Matrix Anal. Appl. 4 https://doi.org/10.1137/s0895479893249228 db/journals/siammax/siammax15.html#KirklandN94

Bahman Ahmadi Deepak Ajwani Shoukat Ali S. Arumugam Ravindra B. Bapat 0001R. B. Bapat 0001 Christopher M. van Bommel Richard A. Brualdi Minerva Catral Ada Chan Patrizio Colaneri Emanuele Crisostomi Ernesto Dedó Pauline van den Driessche Carolyn Eschenbach Shaun M. Fallat Chris D. Godsil Adam Hackett Frank J. Hall Rohan Hemasinha Manjunatha Prasad Karantha Mark Kempton Sooyeong Kim Adam Knudson Chi-Kwong Li Yuqiao Li Zhongshan Li Neal Madras John S. McAlister Jason J. Molitierno Hermie Monterde John P. Morrison Michael Neumann N. Ormes Sarah Plosker Norman J. Pullman Simo Puntanen Norma Zagaglia Salvi Arieh Schlote Sebastian J. Schreiber Bryan L. Shader Robert Shorten Zhisheng Shuai Jeffrey Stuart Nung-Sing Sze Xueying Wang 0004 James Weaver Jianhong Xu Annalisa Zappavigna Xiaohong Zhang