The graph energy game
We study the graph energy from a cooperative game viewpoint. We introduce \emph{the graph energy game} and show various properties. In particular, we see that it is a superadditive game and that the energy of a vertex, as defined in Arizmendi and Juarez-Romero (2018), belongs to the core of the game...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We study the graph energy from a cooperative game viewpoint. We introduce
\emph{the graph energy game} and show various properties. In particular, we see
that it is a superadditive game and that the energy of a vertex, as defined in
Arizmendi and Juarez-Romero (2018), belongs to the core of the game. These
properties imply new bounds for the energy of graphs. We also consider a
version based on $p$-Schatten norms. |
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| DOI: | 10.48550/arxiv.2012.14114 |