GRAPH THEORY
Two-point resistance of a resistor network embedded on a globe Zhi-Zhong Tan, J. W. Essam and F. Y. Wu, Phys. Rev. E 90 012130 (26pp) (2014)
Generating functions and duality for non-crossing walks on a planar graph D. K. Arrowsmith, F. M. Bhatti and J. W.Essam, J. Phys. A:Math. Theor. 45 494008 (19pp) (2012)
Bose and Fermi walk configurations on planar graphs, D. K. Arrowsmith, F. M. Bhatti and J. W.Essam, J. Phys. A:Math. Theor. 45 225003 (22pp) (2012)
Chromatic Polynomials and mod-
l Flows on directed graphs and their applications, D. K. Arrowsmith and J.W.Essam, CRM Proceedings and Lecture Notes 23 1-20 (1999)"Restricted Colourings and Flows on Graphs and Directed Percolation", D. K. Arrowsmith and J. W. Essam, Trends in Statistical Physics, 1, 143-52 (1994) published by "Research Trends, Council of Scientific Information, India ".
"Reciprocity and Polynomial Properties for Even Flows and Potentials on Directed Graphs", D. K. Arrowsmith and J.W. Essam, Combinatorics, Probability and Computing 3, 1-11 (1994)
"Chromatic and Flow Polynomials for Directed Graphs", D. K. Arrowsmith and J. W. Essam, J. Comb. Theory B 62 (1994)
Counting the spanning trees
on a labelled molecular graph,
I. Gutman. R. B. Mallion and J.W.Essam, Molecular Physics 50 P>
"Graph Theory and Statistical Physics", J.W. Essam, Discrete Mathematics, 1, 83-112 (1971).