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	On the minimal energy of trees with a given number of vertices of degree two
	Lin, X. X. ; Guo, X. F. ; Guo XF(郭晓峰)
	2009
关键词	PI-ELECTRON ENERGY ACYCLIC CONJUGATED MOLECULES UNICYCLIC GRAPHS EXTREMAL ENERGIES PENDENT VERTICES HEXAGONAL CHAINS MAXIMAL ENERGY HOSOYA INDEX DIAMETER SYSTEMS
英文摘要	NSFC [10831001]; The energy of a molecular graph is a popular parameter that is defined as the sum of the absolute values of eigenvalues of the graph. It is well known that in the case of trees the energy is related to the matching polynomial and thus also to the Hosoya index via a certain Coulson integral. Ye and Yuan [On the minimal energy of trees with a given number of pendent vertices, MATCH Commun. Math. Comput. Chem. 57 (2007) 193-201.] and Yu and Lv [Minimum energy on trees with k pendent vertices, Lin. Algebra Appl. 418 (2006) 625-633] independently characterized the trees with the minimal energy among the trees with a given number of pendent vertices (that is, vertices of degree one). Let T(n,t) be the set of trees of order n with at least t vertices of degree two. In the present paper, we characterize the tree with minimal energy or Hosoya index in T(n,t).
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66781]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Lin, X. X.,Guo, X. F.,Guo XF. On the minimal energy of trees with a given number of vertices of degree two[J],2009.
APA	Lin, X. X.,Guo, X. F.,&郭晓峰.(2009).On the minimal energy of trees with a given number of vertices of degree two..
MLA	Lin, X. X.,et al."On the minimal energy of trees with a given number of vertices of degree two".(2009).

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