3 papers
math.CO2024
Graph polynomials: some questions on the edge
Graham Farr, Kerri Morgan
We raise some questions about graph polynomials, highlighting concepts and phenomena that may merit consideration in the development of a general theory. Our questions are mainly o…
cs.SI2022
Finding Maximum Cliques in Large Networks
S. Y. Chan, K. Morgan, J. Ugon
There are many methods to find a maximum (or maximal) clique in large networks. Due to the nature of combinatorics, computation becomes exponentially expensive as the number of ver…
math.CO2022
Exact Counts of s in Blow-Up Graphs
S. Y. Chan, K. Morgan, J. Ugon
Cycles have many interesting properties and are widely studied in many disciplines. In some areas, maximising the counts of -cycles are of particular interest. A natural candida…