论文标题

最大总独立集的结构

Structure of a Maximal Total Independent Set

论文作者

Stanton, Lewis

论文摘要

让$ g $成为一个简单,连接和有限的图形,并带有订单$ n $。分别表示独立数量,边缘独立数量和总独立性数字,分别为$α(g),α'(g)$和$α”(g)$。本文建立了与$α$之间的关系。它还描述了给定尺寸的总独立集的可能结构。

Let $G$ be a simple, connected and finite graph with order $n$. Denote the independence number, edge independence number and total independence number by $α(G), α'(G)$ and $α"(G)$ respectively. This paper establishes a relation between $α"(G)$ with $α(G)$, $α'(G)$ and $n$. It also describes the possible structures of a total independent set of a given size.

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