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On inertia and ratio type bounds for the -independence number of a graph and their relationship
Aida Abiad, Cristina Dalfó, Miquel Àngel Fiol +1
For , the -independence number of a graph is the maximum number of vertices that are mutually at distance greater than . The well-known inertia and ratio bounds…
An infinite class of Neumaier graphs and non-existence results
Aida Abiad, Wouter Castryck, Maarten De Boeck +2
A Neumaier graph is a non-complete edge-regular graph containing a regular clique. A Neumaier graph that is not strongly regular is called a strictly Neumaier graph. In this work w…
Characterizing and computing weight-equitable partitions of graphs
Aida Abiad, Christopher Hojny, Sjanne Zeijlemaker
Weight-equitable partitions of graphs, which are a natural extension of the well-known equitable partitions, have been shown to be a powerful tool to weaken the regularity assumpti…