Energy Ordering of Unicyclic Graphs

Ailian Chen; An Chang; Wai Chee SHIU

Energy Ordering of Unicyclic Graphs

Ailian Chen^*, An Chang, Wai Chee SHIU

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

If G is a graph with n vertices and λ₁, λ₂,...,λ_n are its eigenvalues, then the energy of G is defined as E(G) = |λ₁|+|λ₂|+ ⋯ +\λ_n\. Let G(n) be the set of all unicyclic graphs with n vertices. Y. Hou obtained the minimum value on the energies of the graphs in G(n) and determined the corresponding graph in [10]. In this paper we give the second and third minimum values of the energies of graphs in G(n) and determine their corresponding graphs, respectively.

Original language	English
Pages (from-to)	95-102
Number of pages	8
Journal	MATCH Communications in Mathematical and in Computer Chemistry
Volume	55
Issue number	1
Publication status	Published - 2006

Scopus Subject Areas

Chemistry(all)
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

Cite this

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abstract = "If G is a graph with n vertices and λ1, λ2,...,λn are its eigenvalues, then the energy of G is defined as E(G) = |λ1|+|λ2|+ ⋯ +\λn\. Let G(n) be the set of all unicyclic graphs with n vertices. Y. Hou obtained the minimum value on the energies of the graphs in G(n) and determined the corresponding graph in [10]. In this paper we give the second and third minimum values of the energies of graphs in G(n) and determine their corresponding graphs, respectively.",

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year = "2006",

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journal = "MATCH Communications in Mathematical and in Computer Chemistry",

issn = "0340-6253",

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T1 - Energy Ordering of Unicyclic Graphs

AU - Chen, Ailian

AU - Chang, An

AU - SHIU, Wai Chee

PY - 2006

Y1 - 2006

N2 - If G is a graph with n vertices and λ1, λ2,...,λn are its eigenvalues, then the energy of G is defined as E(G) = |λ1|+|λ2|+ ⋯ +\λn\. Let G(n) be the set of all unicyclic graphs with n vertices. Y. Hou obtained the minimum value on the energies of the graphs in G(n) and determined the corresponding graph in [10]. In this paper we give the second and third minimum values of the energies of graphs in G(n) and determine their corresponding graphs, respectively.

AB - If G is a graph with n vertices and λ1, λ2,...,λn are its eigenvalues, then the energy of G is defined as E(G) = |λ1|+|λ2|+ ⋯ +\λn\. Let G(n) be the set of all unicyclic graphs with n vertices. Y. Hou obtained the minimum value on the energies of the graphs in G(n) and determined the corresponding graph in [10]. In this paper we give the second and third minimum values of the energies of graphs in G(n) and determine their corresponding graphs, respectively.

UR - https://match.pmf.kg.ac.rs/content55n1.htm

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M3 - Article

AN - SCOPUS:33748195774

SN - 0340-6253

VL - 55

SP - 95

EP - 102

JO - MATCH Communications in Mathematical and in Computer Chemistry

JF - MATCH Communications in Mathematical and in Computer Chemistry

IS - 1

ER -

Energy Ordering of Unicyclic Graphs

Abstract

Scopus Subject Areas

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