mixed graphs;
Laplacian matrix;
spectral integral variations;
D O I:
10.1016/S0024-3795(03)00575-5
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we characterize the mixed graphs with exactly one Laplacian eigenvalue moving up by an integer and other Laplacian eigenvalues remaining invariant when an edge is added. The results extend those of Fan [Linear and Multilinear Algebra 50 (2002) 133] for general graphs, and So [Linear and Multilinear Algebra 46 (1999) 193] for simple graphs. (C) 2003 Elsevier Inc. All rights reserved.
机构:
Trnava Univ, Fac Educ, Trnava 91843, SlovakiaTrnava Univ, Fac Educ, Trnava 91843, Slovakia
Pokorny, Milan
Hic, Pavel
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机构:
Trnava Univ, Fac Educ, Trnava 91843, SlovakiaTrnava Univ, Fac Educ, Trnava 91843, Slovakia
Hic, Pavel
Stevanovic, Dragan
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机构:
Serbian Acad Arts & Sci, Math Inst, Belgrade 11000, Serbia
Univ Primorska, Inst Andrej Marusic, Koper 26000, SloveniaTrnava Univ, Fac Educ, Trnava 91843, Slovakia
Stevanovic, Dragan
Milosevic, Marko
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机构:
Univ Nis, Fac Sci & Math, Nish 18000, SerbiaTrnava Univ, Fac Educ, Trnava 91843, Slovakia