English

Null Decomposition of Unicyclic Graphs

Combinatorics 2019-07-23 v1

Abstract

In this work we obtain basis for the null space of unicyclic graphs. We extend the null decomposition of trees from [11] for unicyclic graphs. As an application, we obtain closed formulas for the independence and matching numbers of unicyclic graphs just using the support of the graph.

Keywords

Cite

@article{arxiv.1907.08618,
  title  = {Null Decomposition of Unicyclic Graphs},
  author = {Luiz Emilio Allem and Daniel Alejandro Jaume and Gonzalo Molina and Maikon Machado Toledo and Vilmar Trevisan},
  journal= {arXiv preprint arXiv:1907.08618},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1907.07650

R2 v1 2026-06-23T10:25:30.929Z