具有零值n-4的图的表征

IF 2.9 2区 化学 Q2 CHEMISTRY, MULTIDISCIPLINARY
R. Poojary, A. Bhat K, M. Karantha, S. Arumugam, I. Gutman
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引用次数: 0

摘要

图G的零,用η(G)表示,是图G谱中特征值零的多重性。给出了n阶图的统一表征方法,η(G) = n−4。对于η(G) = n−4的树、单环图、双环图、最小度为1的图和r-部图,所有已知的结果都证明了Chang、Huang和Yeh的一个定理的推论,该定理刻画了所有零为n−4的图。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Characterizing Graphs with Nullity n-4
The nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in the spectrum of G. A unified approach is presented for the characterization of graphs of order n with η(G) = n−4. All known results on trees, unicyclic graphs, bicyclic graphs, graphs with minimum degree 1, and r-partite graphs, for which η(G) = n−4 are shown to be corollaries of a theorem of Chang, Huang and Yeh that characterizes all graphs with nullity n − 4.
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来源期刊
CiteScore
4.40
自引率
26.90%
发文量
71
审稿时长
2 months
期刊介绍: MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.
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