Characterization of Efficiently Parallel Solvable Problems on Distance-Hereditary Graphs
نویسندگان
چکیده
منابع مشابه
Characterization of Efficiently Parallel Solvable
In this paper, we sketch common properties of a class of so-called subgraph optimization problems that can be systematically solved on distance-hereditary graphs. Based on the found properties, we then develop a general problem-solving paradigm that solves these problems efficiently in parallel. As a by-product, we also obtain new linear-time algorithms by a sequential simulation of our paralle...
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In this papel; we present eficient parallel algorithms forjinding a minimum weighted connected dominating set, a minimum weighted Steiner tree for a distance-hereditary graph which take O(1og n) time using O(n+m) processors on a CRCW PRAM, where n and m are the number of vertices and edges of a given graph, respectively. We also find a maximum weighted clique of a distance-hereditary graph in O...
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متن کاملOn an extension of distance hereditary graphs
Given a simple and finite connected graph G, the distance dG(u, v) is the length of the shortest induced {u, v}-path linking the vertices u and v in G. Bandelt and Mulder [H.J. Bandelt, H.M. Mulder, Distance hereditary graphs, J. Combin. Theory Ser. B 41 (1986) 182–208] have characterized the class of distance hereditary graphs where the distance is preserved in each connected induced subgraph....
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In this work we introduce, characterize, and provide algorithmic results for (k, +)–distance-hereditary graphs, k ≥ 0. These graphs can be used to model interconnection networks with desirable connectivity properties; a network modeled as a (k, +)–distance-hereditary graph can be characterized as follows: if some nodes have failed, as long as two nodes remain connected, the distance between the...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2002
ISSN: 0895-4801,1095-7146
DOI: 10.1137/s0895480101389880