arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2012.14114math.SPcs.GTmath.CO
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图能量游戏

The graph energy game

Gerardo Arizmendi, Octavio Arizmendi

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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