Modelling properties of spanning trees: Diameter and distance sum
نویسندگان
چکیده
منابع مشابه
Minimum Restricted Diameter Spanning Trees
Let G = (V,E) be a requirements graph. Let d = (dij)i,j=1 be a length metric. For a tree T denote by dT (i, j) the distance between i and j in T (the length according to d of the unique i − j path in T ). The restricted diameter of T , DT , is the maximum distance in T between pair of vertices with requirement between them. The minimum restricted diameter spanning tree problem is to find a span...
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For a spanning tree T in a nontrivial connected graph G and for vertices u and v inG, there exists a unique u−v path u = u0, u1, u2, . . ., uk = v in T . A u− v T -path in G is a u− v path u = v0, v1, . . . , vl = v in G that is a subsequence of the sequence u = u0, u1, u2, . . . , uk = v. A u− v T -path of minimum length is a u− v T -geodesic in G. The T distance dG|T (u, v) from u to v in G i...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1988
ISSN: 0895-7177
DOI: 10.1016/0895-7177(88)90485-2