Vertex decompositions of two-dimensional complexes and graphs
نویسنده
چکیده
We investigate families of two-dimensional simplicial complexes defined in terms of vertex decompositions. They include nonevasive complexes, strongly collapsible complexes of Barmak and Miniam and analogues of 2-trees of Harary and Palmer. We investigate the complexity of recognition problems for those families and some of their combinatorial properties. Certain results follow from analogous decomposition techniques for graphs. For example, we prove that it is NPcomplete to decide if a graph can be reduced to a discrete graph by a sequence of removals of vertices of degree 3.
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عنوان ژورنال:
- Contributions to Discrete Mathematics
دوره 7 شماره
صفحات -
تاریخ انتشار 2012