On the separability of graphs
نویسندگان
چکیده
منابع مشابه
On the Path Separability of Planar Graphs
It is known that every weighted planar graph with n vertices contains three shortest paths whose removal halves the graph into connected components of at most n/2 vertices. Whether this property remains true with the use of two shortest paths only is an open problem. We show that two shortest paths are enough for a large family of planar graphs, called face-separable, composed of graphs for whi...
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In this paper we investigate the structural properties of k-path separable graphs, that are the graphs that can be separated by a set of k shortest paths. We identify several graph families having such path separability, and we show that this property is closed under minor taking. In particular we establish a list of forbidden minors for 1-path separable graphs.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2013
ISSN: 0012-365X
DOI: 10.1016/j.disc.2012.12.023