Computing median and antimedian sets in median graphs
نویسندگان
چکیده
منابع مشابه
Antimedian and median subsets of graphs∗
A profile on a graph G is a finite sequence of vertices of G. The remoteness of a vertex u is the sum of distances to the vertices of the profile. The set of vertices that maximize (minimize) the remoteness is the antimedian (median) set of the profile. It is proved that for every connected graph G there exists a graph H such that G is a convex subgraph of H and V (G) is the antimedian set of t...
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The distance DG(v) of a vertex v in an undirected graph G is the sum of the distances between v and all other vertices of G. The set of vertices in G with maximum (minimum) distance is the antimedian (median) set of a graph G. It is proved that for arbitrary graphs G and J and a positive integer r ≥ 2, there exists a connected graph H such that G is the antimedian and J the median subgraphs of ...
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2008
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-008-9200-4