Graph theory and statistical physics. - John W. Essam (Discret. Math., 1971)

The family of D-weights for a two-rooted graph. - David K. Arrowsmith; Michael A. A. Cox; John W. Essam (Discret. Math., 1979)

Low density series expansions for backbone properties of percolation clusters. - F. M. Bhatti; John W. Essam (Discret. Appl. Math., 1988)

Reciprocity and Polynomial Properties for Even Flows and Potentials on Directed Graphs. - David K. Arrowsmith; John W. Essam (Comb. Probab. Comput., 1994)

Chromatic and Flow Polynomials for Directed Graphs. - David K. Arrowsmith; John W. Essam (J. Comb. Theory B, 1994)

Bicoloured Dyck Paths and the Contact Polynomial for n Non-Intersecting Paths in a Half-Plane Lattice. - Richard Brak; John W. Essam (Electron. J. Comb., 2003)

A Combinatorial Derivation of the PASEP Stationary State. - Richard Brak; Sylvie Corteel; John W. Essam; Robert Parviainen; Andrew Rechnitzer (Electron. J. Comb., 2006)