On graphs with at most four line-disjoint paths connecting any two vertices
Autor: | John L. Leonard |
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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 |
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