Independence and Matching Numbers in Triangle Free Graphs

doi:10.11908/j.issn.0253-374x.2017.01.018

Home > Archive>Volume 45, Issue 01, 2017 >124-126. DOI:10.11908/j.issn.0253-374x.2017.01.018

Independence and Matching Numbers in Triangle Free Graphs
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                        10.11908/j.issn.0253-374x.2017.01.018
                    
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                        CHEN MingCHEN Ming
School of Mathematical Sciences, Tongji University, Shanghai 200092, China; College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314000, China
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LI YushengLI Yusheng
School of Mathematical Sciences, Tongji University, Shanghai 200092, China
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Clc Number:O157.5
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Abstract:

Let α(G), β(G) and n(G) be the independence number, the matching number and the order of a graph G, respectively, the independence number and the matching number are two more important parameters for a graph. In this paper, it is proved that there exist two optimal numerical relationships between them for the graphs which are K3free and the maximum degree is 5 at most.

Key words:independence number; matching number; triangle; maximum degree

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CHEN Ming, LI Yusheng. Independence and Matching Numbers in Triangle Free Graphs[J].同济大学学报(自然科学版),2017,45(01):124~126

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Received:March 29,2016
Revised:October 22,2016
Adopted:August 23,2016
Online: February 10,2017
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