Constructing vertex decomposable graphs

Document Type: Research Paper

Authors

1 Department of Mathematics‎, ‎Science and Research‎ ‎branch‎, ‎Islamic Azad University(IAU)‎, ‎Tehran‎, ‎Iran.

2 Department of Mathematics‎, ‎University of Kurdistan‎, ‎P.O‎. ‎Box 66177-15175‎, ‎Sanadaj‎, ‎Iran‎.

Abstract

‎Recently‎, ‎some techniques such as adding whiskers and attaching graphs to vertices of a given graph‎, ‎have been proposed for constructing a new vertex decomposable graph‎. ‎In this paper‎, ‎we present a new method for constructing vertex decomposable graphs‎. ‎Then we use this construction to generalize the result due to Cook and Nagel‎.

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