Weak saturation numbers of and

Autor: Yajuan Cui, Liqun Pu
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: AKCE International Journal of Graphs and Combinatorics, Vol 16, Iss 3, Pp 237-240 (2019)
Druh dokumentu: article
ISSN: 0972-8600
DOI: 10.1016/j.akcej.2019.04.003
Popis: A graph is weakly -saturated if contains no copy of , and there is an ordering of all edges of so that if they are added one at a time, they form a complete graph and each edge added creates a new copy of . The minimum size of a weakly -saturated graph of order is weak saturation number, denoted by . Let denote the complete graph with vertices, denote the complete bipartite graph with partite sizes of and , and denote the complement of . In this paper, we determine and whose significance can be seen in the introduction.
Databáze: Directory of Open Access Journals