Uniquely Cycle-Saturated Graphs
نویسندگان
چکیده
منابع مشابه
Uniquely Cycle-Saturated Graphs
Given a graph F , a graph G is uniquely F -saturated if F is not a subgraph of G and adding any edge of the complement to G completes exactly one copy of F . In this paper we study uniquely Ct-saturated graphs. We prove the following: (1) a graph is uniquely C5-saturated if and only if it is a friendship graph. (2) There are no uniquely C6-saturated graphs or uniquely C7-saturated graphs. (3) F...
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A graph G is called F -saturated if it does not contain any copy of F , but for any edge e in the complement of G the graph G + e contains some F . The minimum size of an n-vertex F -saturated graph is denoted by sat(n, F ). We give almost exact asymptotics for sat(n,Ck) as k is fixed and n → ∞ where Ck is a cycle with length k.
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2016
ISSN: 0364-9024
DOI: 10.1002/jgt.22049