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Minimal Spectrum-Sums of Bipartite Graphs with Exactly Two Vertex-Disjoint Cycles

Fuyi Wei ; Department of Applied Mathematics, College of Science, South China Agricultural University, Guangzhou, China
Bo Zhou orcid id orcid.org/0000-0001-7321-9554 ; Department of Mathematics, South China Normal University, Guangzhou, P. R. China
Nenad Trinajstić ; Ruđer Bošković Institute, Zagreb, Croatia


Puni tekst: engleski pdf 98 Kb

str. 363-367

preuzimanja: 606

citiraj


Sažetak

The spectrum-sum of a graph is defined as the sum of the absolute values of its eigenvalues.
The graphs with minimal spectrum-sums in the class of connected bipartite graphs with exactly
two vertex-disjoint cycles, in the class of connected bipartite graphs with exactly two vertex-
-disjoint cycles whose lengths are congruent with 2 modulo 4, and in the class of connected bipartite
graphs with exactly two vertex-disjoint cycles one of which has length congruent with 2
modulo 4, are determined, respectively.

Ključne riječi

graph spectrum; spectrum-sum; bipartite graphs; alternant structures

Hrčak ID:

28505

URI

https://hrcak.srce.hr/28505

Datum izdavanja:

30.6.2008.

Posjeta: 1.170 *