On Ramsey -minimal graphs

Autor: Kristiana Wijaya, Edy Tri Baskoro, Hilda Assiyatun, Djoko Suprijanto
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: AKCE International Journal of Graphs and Combinatorics, Vol 15, Iss 2, Pp 174-186 (2018)
Druh dokumentu: article
ISSN: 0972-8600
DOI: 10.1016/j.akcej.2017.08.003
Popis: Let and be simple graphs. We write to mean that any red–blue coloring of all edges of will contain either a red copy of or a blue copy of A graph (without isolated vertices) satisfying and for each is called a Ramsey -minimal graph. The set of all Ramsey -minimal graphs is denoted by In this paper, we derive the necessary and sufficient condition of graphs belonging to for any connected graph Moreover, we give a relation between Ramsey - and -minimal graphs, and Ramsey - and -minimal graphs. Furthermore, we determine all graphs in
Databáze: Directory of Open Access Journals