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Packing the Steiner trees of a graph

✍ Scribed by L. Petingi; M. Talafha


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
127 KB
Volume
54
Category
Article
ISSN
0028-3045

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Packing Steiner Trees: Further Facets
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Packing Steiner Trees: Further Facets
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## Abstract We prove that if __T__ is a tree of order __p__ β©Ύ 5 and __G__ is a graph of order __p__ and size __p__ ‐ 1 such that neither __T__ nor __G__ is a star, then __T__ can be embedded in G, the complement of __G__.

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Let H be a tree on h 2 vertices. It is shown that if n is sufficiently large and G=(V, E ) is an n-vertex graph with $(G) wnΓ‚2x , then there are w |E |Γ‚(h&1)x edge-disjoint subgraphs of G which are isomorphic to H. In particular, if h&1 divides |E | then there is an H-decomposition of G. This result

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The average distance p(G) of a graph G is the average among the distances between all pairs of vertices in G. For n 2 2, the average Steiner n-distance ,4G) of a connected graph G is the average Steiner distance over all sets of n vertices in G. It is shown that for a connected weighted graph G, pu,