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XIAO en-li; SHU jin-long;WEN ren-kai, . The Algebraic and Vertex Connectivity of Graphs[J]. Journal of East China Normal University (Natural Sciences), 2003, (4): 1-4.
Citation:
XIAO en-li; SHU jin-long;WEN ren-kai, . The Algebraic and Vertex Connectivity of Graphs[J]. Journal of East China Normal University (Natural Sciences), 2003, (4): 1-4.
XIAO en-li; SHU jin-long;WEN ren-kai, . The Algebraic and Vertex Connectivity of Graphs[J]. Journal of East China Normal University (Natural Sciences), 2003, (4): 1-4.
Citation:
XIAO en-li; SHU jin-long;WEN ren-kai, . The Algebraic and Vertex Connectivity of Graphs[J]. Journal of East China Normal University (Natural Sciences), 2003, (4): 1-4.
G is a simple graph with a(G) and k(G), its algebraic and vertex connectivity.This paper finds all the graphs satisfying a(G)=k(G).G=(V,E) is a simple graph of order n with vertex connectivity k(G)≤[n/2],and H is one of G's minimal vertex cut set,then a(G)=k(G) holds if and only if for every u∈H and every v∈V\H, uv∈E.
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