On the existence of tripartite graphs and n-partite graphs

Autor: Guo Jiyun, Li Haiyan, Zhang Yuqin, Liu Lingling, Fu Miao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Open Mathematics, Vol 22, Iss 1, Pp 264-274 (2024)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2024-0093
Popis: A sequence α\alpha of nonnegative integers is said to be graphic if it is the degree sequence of a simple graph GG, and such a graph GG is called a realization of α\alpha . In this article, we generalize Gale and Ryser’s theorem and give the sufficient condition and necessary condition for a triple to be realized by a tripartite graph. Not only that, we also give another stronger monotonous degree condition.
Databáze: Directory of Open Access Journals