Various Results on The Well-Covered Dimension of a Graph

Details Various Results on The Well-Covered Dimension of a Graph Various Results on The Well-Covered Dimension of a Graph

2010-03-21

arxiv.org/abs/1003.3968v2

Mathematics

Combinatorics

8 pages, 5 figures

Scientific paper

The well-covered dimension of various individual graphs and graph families are computed. Special families, such as the crown graphs, are studied and they yield well-covered dimensions that change depending on the char- acteristic of the field chosen as the field of scalars. Also, formulas to find the well-covered dimension of graphs obtained by vertex blowups on a known graph, and to the lexicographic product of two known graphs are given.

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