Distance-Restricted Matching Extension in Triangulations on the Torus and the Klein Bottle
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چکیده
A graph G with at least 2m+2 edges is said to be distance d m-extendable if for any matching M of G with m edges in which the edges lie pair-wise distance at least d, there exists a perfect matching of G containing M . In [J. Graph Theory 67 (2011), no. 1, 38-46], Aldred and Plummer proved that every 5-connected triangulation on the plane or the projective plane with an even order is distance 5 m-extendable for any m. In this paper we prove that the same thing holds for every triangulation on the torus or the Klein bottle.
منابع مشابه
Distance-Restricted Matching Extension in Triangulations of the Torus and the Klein Bottle
A graph G with at least 2m + 2 edges is said to be distance d m-extendable if for any matching M in G with m edges in which the edges lie pair-wise distance at least d, there exists a perfect matching in G containing M . In a previous paper, Aldred and Plummer proved that every 5-connected triangulation of the plane or the projective plane of even order is distance 5 m-extendable for any m. In ...
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تاریخ انتشار 2012