On the average energy of circulant graphs

Simon R. Blackburn; Igor E. Shparlinski

doi:10.1016/j.laa.2007.11.003

On the average energy of circulant graphs

Simon R. Blackburn, Igor E. Shparlinski^*

^*Corresponding author for this work

School of Computing

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

20 Citations (Scopus)

Abstract

We obtain upper and lower bounds on the average energy of circulant graphs with n vertices and regularity d. The average is taken over all representations of such graphs by circulant adjacency matrices.

Original language	English
Pages (from-to)	1956-1963
Number of pages	8
Journal	Linear Algebra and Its Applications
Volume	428
Issue number	8-9
DOIs	https://doi.org/10.1016/j.laa.2007.11.003
Publication status	Published - 15 Apr 2008

Keywords

Circulant graphs
Energy of graphs

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10.1016/j.laa.2007.11.003

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title = "On the average energy of circulant graphs",

abstract = "We obtain upper and lower bounds on the average energy of circulant graphs with n vertices and regularity d. The average is taken over all representations of such graphs by circulant adjacency matrices.",

keywords = "Circulant graphs, Energy of graphs",

author = "Blackburn, \{Simon R.\} and Shparlinski, \{Igor E.\}",

year = "2008",

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journal = "Linear Algebra and Its Applications",

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AU - Blackburn, Simon R.

AU - Shparlinski, Igor E.

PY - 2008/4/15

Y1 - 2008/4/15

N2 - We obtain upper and lower bounds on the average energy of circulant graphs with n vertices and regularity d. The average is taken over all representations of such graphs by circulant adjacency matrices.

AB - We obtain upper and lower bounds on the average energy of circulant graphs with n vertices and regularity d. The average is taken over all representations of such graphs by circulant adjacency matrices.

KW - Circulant graphs

KW - Energy of graphs

UR - https://www.scopus.com/pages/publications/39549092302

U2 - 10.1016/j.laa.2007.11.003

DO - 10.1016/j.laa.2007.11.003

M3 - Article

AN - SCOPUS:39549092302

SN - 0024-3795

VL - 428

SP - 1956

EP - 1963

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 8-9

ER -

On the average energy of circulant graphs

Abstract

Keywords

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