Energy Ordering of Unicycle graphs

Ailian Chen; An Chang; Wai Chee Shiu

Energy Ordering of Unicycle graphs

Ailian Chen
, An Chang^*
, Wai Chee Shiu

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

39 Citations (Scopus)

33 Downloads (Pure)

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 - Jan 2006

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title = "Energy Ordering of Unicycle graphs",

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|+ ⋯ +\textbackslash{}λn\textbackslash{}. 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.",

author = "Ailian Chen and An Chang and Shiu, \{Wai Chee\}",

note = "Funding information: * The work was supported by the National Natural Science Foundation of China (No.10371019), SDFFZU (No.2003-XQ-22); and Faculty Research Grant, Hong Kong Baptist University",

year = "2006",

month = jan,

language = "English",

volume = "55",

pages = "95--102",

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

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publisher = "University of Kragujevac, Faculty of Science",

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T1 - Energy Ordering of Unicycle graphs

AU - Chen, Ailian

AU - Chang, An

AU - Shiu, Wai Chee

N1 - Funding information: * The work was supported by the National Natural Science Foundation of China (No.10371019), SDFFZU (No.2003-XQ-22); and Faculty Research Grant, Hong Kong Baptist University

PY - 2006/1

Y1 - 2006/1

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

UR - https://www.scopus.com/pages/publications/33748195774

M3 - Journal 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 Unicycle graphs

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