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Heavy fans, cycles and paths in weighted graphs of large connectivity

โœ Scribed by Jun Fujisawa


Book ID
108113679
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
301 KB
Volume
307
Category
Article
ISSN
0012-365X

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Let G be a 2-connected weighted graph and k โ‰ฅ 2 an integer. In this note we prove that if the sum of the weighted degrees of every k + 1 pairwise nonadjacent vertices is at least m, then G contains either a cycle of weight at least 2m/(k + 1) or a spanning tree with no more than k leaves.