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The spectral moments of trees with given maximum degree

โœ Scribed by Xiang-Feng Pan; Xiaolan Hu; Xiuguo Liu; Huiqing Liu


Book ID
108052647
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
236 KB
Volume
24
Category
Article
ISSN
0893-9659

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## Abstract We prove that every connected graph __G__ contains a tree __T__ of maximum degree at most __k__ that either spans __G__ or has order at least __k__ฮด(__G__) + 1, where ฮด(__G__) is the minimum degree of __G.__ This generalizes and unifies earlier results of Bermond [1] and Win [7]. We als