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Signed graphs with totally disconnected star complements
Volume 62, no. 1
(2021),
pp. 95–104
https://doi.org/10.33044/revuma.1480
Abstract
We are interested in a signed graph $\dot{G}$ which admits 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 by the Unión Matemática Argentina |
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