A NOTE ON EDGE-CONNECTIVITY OF THE CARTESIAN PRODUCT OF GRAPHS
نویسندگان
چکیده
منابع مشابه
On super edge-connectivity of Cartesian product graphs
The super edge-connectivity λ′ of a connected graph G is the minimum cardinality of an edge-cut F in G such that every component of G − F contains at least two vertices. LetGi be a connected graph with order ni , minimum degree δi and edge-connectivity λi for i = 1, 2. This article shows that λ′(G1 × G2) ≥ min{n1 λ2,n2 λ1,λ1 + 2λ2, 2λ1+λ2} forn1,n2 ≥ 3 andλ′(K2×G2) = min{n2, 2λ2}, which general...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2011
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s000497271100219x