منابع مشابه
On approximating the maximum diameter ratio of graphs
It is proved that computing the maximum diameter ratio also known as the local density of a graph is APX complete The related problem of nding a maximum subgraph of a xed diameter d is proved to be even harder to approximate
متن کاملOn the maximum diameter of path-pairable graphs
A graph is path-pairable if for any pairing of its vertices there exist edge disjoint paths joining the vertices in each pair. We obtain sharp bounds on the maximum possible diameter of path-pairable graphs which either have a given number of edges, or are cdegenerate. Along the way we show that a large family of graphs obtained by blowing up a path is path-pairable, which may be of independent...
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The maximum gen'us of connected of orient able surface on which G has 2-ce11 C:U.UYC;UUULl.".. to 2,M(G) where (3(G) the Betti n'umber of G.
متن کاملMaximum Diameter of Impacting Liquid Droplets
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متن کاملMaximum degree in graphs of diameter 2
The purpose of this paper is to prove that, with the exception of C 4 , there are no graphs of diameter 2 and maximum degree d with d 2 vertices . On one hand our paper is an extension of [4] where it was proved that there are at most four Moore graphs of diameter 2 (i .e . graphs of diameter 2, maximum degree d, and d2 + 1 vertices) . We also use the eigenvalue method developed in that paper ....
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1974
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1974-13445-2