图能量游戏
The graph energy game
摘要:
我们从合作对策的角度研究了图的能量。我们介绍了\emph{the graph energy game}和各种性质。特别是,我们看到这是一个超加性博弈,并且如Arizmendi和Juarez-Romero(2018)所定义的顶点能量属于博弈的核心。这些性质意味着新的界限的能量图。我们还考虑了一个版本的基础上$p$ -Schatten规范。
英文摘要:
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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