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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Bibliographic Details
Main Author: Matsumura Hajime
Format: Article
Language:English
Published: Sciendo 2015-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1778