Independence numbers of some double vertex graphs and pair graphs
Combinatorics
2024-11-12 v3
Abstract
The combinatorial properties of double vertex graphs has been widely studied since the 90's. However only very few results are know about the independence number of such graphs. In this paper we obtain the independence numbers of the double vertex graphs of fan graphs and wheel graphs. Also we obtain the independence numbers of the pair graphs, that is a generalization of the double vertex graphs, of some families of graphs.
Cite
@article{arxiv.1810.06354,
title = {Independence numbers of some double vertex graphs and pair graphs},
author = {Paloma Jiménez-Sepúlveda and Luis Manuel Rivera},
journal= {arXiv preprint arXiv:1810.06354},
year = {2024}
}
Comments
17 pages. Minor changes in the proofs