On a Spanning k-Tree in which Specified Vertices Have Degree Less Than k

A k-tree is a tree with maximum degree at most k. In this paper, we give a degree sum condition for a graph to have a spanning k-tree in which specified vertices have degree less than k. We denote by σk(G) the minimum value of the degree sum of k independent vertices in a graph G. Let k ≥ 3 and s ≥...

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Bibliografski detalji
Glavni autor: Matsumura Hajime
Format: Članak
Jezik:English
Izdano: University of Zielona Góra 2015-02-01
Serija:Discussiones Mathematicae Graph Theory
Teme:
Online pristup:https://doi.org/10.7151/dmgt.1778