Minimally k-connected graphs of low order and maximal size
نویسندگان
چکیده
منابع مشابه
Minimally k-Edge-Connected Directed Graphs of Maximal Size
Let D = (V,E) be a minimally k-edge-connected simple directed graph. We prove that there is a function f(k) such that |V | ≥ f(k) implies |E| ≤ 2k(|V | − k). We also determine the extremal graphs whose size attains this upper bound.
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A k-tree is either a complete graph on (k+1) vertices or given a k-tree G′ with n vertices, a k-tree G with (n+1) vertices can be constructed by introducing a new vertex v and picking a k-clique Q in G′ and then joining each vertex u in Q. A graph G is kedge-connected if the graph remains connected even after deleting fewer edges than k from the graph. A k-edge-connected graph G is said to be m...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1982
ISSN: 0012-365X
DOI: 10.1016/0012-365x(82)90018-8