51 citations · 58 across the 5 of their papers we have counts for
5 papers
Some Properties of Strongly Regular Graphs
Norman Biggs
An approach to the enumeration of feasible parameters for strongly regular graphs is described, based on the pair of structural parameters (a,c) and the positive eigenvalue e. The…
The Second Subconstituent of some Strongly Regular Graphs
Norman Biggs
This is a report on a failed attempt to construct new graphs that are strongly regular with no triangles. The approach is based on the assumption that the second subconstituent has…
Families of parameters for SRNT graphs
Norman Biggs
The feasibility conditions obtained in a previous report are refined, and used to determine several infinite families of feasible parameters for strongly regular graphs with no tri…
Strongly Regular Graphs with No Triangles
Norman Biggs
A simplified version of the theory of strongly regular graphs is developed for the case in which the graphs have no triangles. This leads to (i) direct proofs of the Krein conditio…
T=0 Partition Functions for Potts Antiferromagnets on Square Lattice Strips with (Twisted) Periodic Boundary Conditions
Norman Biggs, Robert Shrock
We present exact calculations of the zero-temperature partition function for the q-state Potts antiferromagnet (equivalently, the chromatic polynomial) for two families of arbitrar…