Seminar of Graph Theory - Štefko Miklavič (10.11.2016)

Thursday 10.11.2016 at 9:50, Lecture room M/213

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Štefko Miklavič (University of Primorska, Koper):
Matching extendability of Deza graphs

Abstract:
Let $\Gamma$ be a connected graph. A matching $M$ of $\Gamma$ is a set of pairwise non-adjacent edges; that is, no two edges share a common vertex. A vertex of $\Gamma$ is matched by a matching $M$ if it is an endpoint of one of the edges in $M$. A perfect matching of $\Gamma$ is a matching which matches all vertices of $\Gamma$. Graph $\Gamma$ of even order is $n$-extendable, if

(i) it contains a matching of size $n$ and
(ii) every such matching is contained in a perfect matching of $\Gamma$.

 

In this talk we will review known results about extendability of strongly regular graphs, distance-regular graphs and Deza graphs.

 

 

 

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