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arXiv · 1111.1352

Max-plus objects to study the complexity of graphs

Cristiano Bocci·Luca Chiantini·Fabio Rapallo
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Abstract

Given an undirected graph $G$, we define a new object $H_G$, called the mp-chart of $G$, in the max-plus algebra. We use it, together with the max-plus permanent, to describe the complexity of graphs. We show how to compute the mean and the variance of $H_G$ in terms of the adjacency matrix of $G$ and we give a central limit theorem for $H_G$. Finally, we show that the mp-chart is easily tractable also for the complement graph.

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Cristiano Bocci, Luca Chiantini, Fabio Rapallo. 2011-11-05. Max-plus objects to study the complexity of graphs. https://arxiv.org/abs/1111.1352

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