Some results on irregular decomposition of graphs

  • Carla N. Lintzmayer UFABC
  • Guilherme O. Mota USP
  • Lucas S. da Rocha UFABC
  • Maycon Sambinelli UFABC

Resumo


A graph is locally irregular if any pair of adjacent vertices have distinct degrees. A locally irregular decomposition of a graph G is a decomposition of G into subgraphs that are locally irregular. We prove that any graph G can be decomposed into at most 2∆(G) − 1 locally irregular graphs, improving on the previous upper bound of 3∆(G)−2. We also show some results on subcubic and non-decomposable graphs.

Referências

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Publicado
06/08/2023
LINTZMAYER, Carla N.; MOTA, Guilherme O.; ROCHA, Lucas S. da; SAMBINELLI, Maycon. Some results on irregular decomposition of graphs. In: ENCONTRO DE TEORIA DA COMPUTAÇÃO (ETC), 8. , 2023, João Pessoa/PB. Anais [...]. Porto Alegre: Sociedade Brasileira de Computação, 2023 . p. 10-14. ISSN 2595-6116. DOI: https://doi.org/10.5753/etc.2023.230304.