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Constructing graphs with pairs of pseudo-similar vertices

✍ Scribed by C.D Godsil; W.L Kocay


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
472 KB
Volume
32
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


Constructing pairs of equienergetic and
✍ AndrΓ©a S. BonifΓ‘cio; Cybele T.M. Vinagre; Nair Maria Maia de Abreu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 159 KB

The energy of a simple graph G is the sum of the absolute values of the eigenvalues of its adjacency matrix. Two graphs of the same order are said to be equienergetic if they have the same energy. Several ways to construct equienergetic non-cospectral graphs of very large size can be found in the li

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The nullity of a graph G, denoted by Ξ·(G), is the multiplicity of the eigenvalue zero in its spectrum. Cheng and Liu [B. Cheng, B. Liu, On the nullity of graphs, Electron. J. Linear Algebra 16 (2007) 60-67] characterized the extremal graphs attaining the upper bound n -2 and the second upper bound n