The Degree-Diameter Problem for Sparse Graph Classes
نویسندگان
چکیده
منابع مشابه
The Degree-Diameter Problem for Sparse Graph Classes
The degree-diameter problem asks for the maximum number of vertices in a graph with maximum degree ∆ and diameter k. For fixed k, the answer is Θ(∆k). We consider the degree-diameter problem for particular classes of sparse graphs, and establish the following results. For graphs of bounded average degree the answer is Θ(∆k−1), and for graphs of bounded arboricity the answer is Θ(∆bk/2c), in bot...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2015
ISSN: 1077-8926
DOI: 10.37236/4313