On graphs with at most four line-disjoint paths connecting any two vertices

Autor: John L. Leonard
Rok vydání: 1972
Předmět:
Zdroj: Journal of Combinatorial Theory, Series B. 13:242-250
ISSN: 0095-8956
DOI: 10.1016/0095-8956(72)90059-7
Popis: It is shown that any graph with n points and l5(n) or more lines, where l5(n)=5n−32, must contain a pair of points joined by five line-disjoint paths. Various graphs are exhibited which have n points and l5(n) − 1 lines and which contain no pairs of points joined by 5 line-disjoint paths, showing l5(n) to be the smallest integer with the stated property.
Databáze: OpenAIRE