ON GRAPHS WHOSE SECOND LARGEST EIGENVALUE EQUALS 1

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ASGHAR SHARGHI L.; KIANI D.

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

ON GRAPHS WHOSE SECOND LARGEST EIGENVALUE EQUALS 1

Author(s)

ASGHAR SHARGHI L. | KIANI D.

Keywords

STAR COMPLEMENT

ADJACENCY MATRIX

GRAPH EIGENVALUES

Abstract

LET G BE A GRAPH OF ORDER N AND LET Μ BE AN EIGENVALUE OF MULTIPLIC- ITY M. A STAR COMPLEMENT FOR Μ IN G IS AN INDUCED SUBGRAPH OF G OF ORDER N-M WITH NO EIGENVALUE Μ. HERE WE FIRST IDENTIFY AMONG CACTUS GRAPHS, COMPLETE THREE PARTITE GRAPHS KN,N,N, AND BICYCLIC GRAPHS WHICH CAN BE STAR COMPLEMENT FOR 1 AS THE SECOND LARGEST EIGENVALUE. USING THE GRAPHS OBTAINED, WE NEXT SEARCH FOR THEIR MAXIMAL EXTENSIONS, EITHER BY THEORETICAL MEANS, OR BY COMPUTER AIDED SEARCH.

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APA: Copy

ASGHAR SHARGHI, L., & KIANI, D.. (2009). ON GRAPHS WHOSE SECOND LARGEST EIGENVALUE EQUALS 1. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904412/en

Vancouver: Copy

ASGHAR SHARGHI L., KIANI D.. ON GRAPHS WHOSE SECOND LARGEST EIGENVALUE EQUALS 1. 2009. Available from: https://sid.ir/paper/904412/en

IEEE: Copy

L. ASGHAR SHARGHI, and D. KIANI, “ON GRAPHS WHOSE SECOND LARGEST EIGENVALUE EQUALS 1,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904412/en

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