The Degree/Diameter Problem in Maximal Planar Bipartite graphs
نویسندگان
چکیده
منابع مشابه
The Degree/Diameter Problem in Maximal Planar Bipartite graphs
The (∆, D) (degree/diameter) problem consists of finding the largest possible number of vertices n among all the graphs with maximum degree ∆ and diameter D. We consider the (∆, D) problem for maximal planar bipartite graphs, that are simple planar graphs in which every face is a quadrangle. We prove that for the (∆, 2) problem, the number of vertices is n = ∆ + 2; and for the (∆, 3) problem, n...
متن کاملThe degree/diameter problem in maximal planar bipartite graphs (Extended abstract)
The (∆, D) (degree/diameter) problem consists of finding the largest possible number of vertices n among all the graphs with maximum degree ∆ and diameter D. We consider the (∆, D) problem for maximal planar bipartite graphs, that are simple planar graphs in which every face is a quadrangle. We obtain that for the (∆, 2) problem, the number of vertices is n = ∆+2; and for the (∆, 3) problem, n ...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2016
ISSN: 1077-8926
DOI: 10.37236/4468