论文标题

图能量游戏

The graph energy game

论文作者

Arizmendi, Gerardo, Arizmendi, Octavio

论文摘要

我们从合作游戏的角度研究图形能量。我们介绍\ emph {图形能量游戏}并显示各种属性。特别是,我们看到这是一款超湿的游戏,而在Arizmendi和Juarez-Romero(2018)中定义的顶点的能量属于游戏的核心。这些属性暗示了图形能量的新边界。我们还考虑了一个基于$ p $ -schatten规范的版本。

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源