Signed graphs with totally disconnected star complements

Authors

  • Zoran Stanić Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Belgrade, Serbia

DOI:

https://doi.org/10.33044/revuma.1480

Abstract

The title refers to signed graphs $\dot{G}$ which admit a decomposition into a totally disconnected (i.e., without edges) star complement and a signed graph $\dot{S}$ induced by the star set. In this study we derive certain properties of $\dot{G}$; for example, we prove that the number of (distinct) eigenvalues of $\dot{S}$ does not exceed the number of those of $\dot{G}$. Some particular cases are also considered.

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Published

2021-05-21

Issue

Vol. 62 No. 1 (2021)

Section

Article

License

Copyright (c) 2021 Zoran Stanić

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