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- W2964243625 abstract "Let G be the set of simple graphs (or multigraphs) G such that for each G∈G there exists at least two non-empty disjoint proper subsets V1,V2⊆V(G) satisfying V(G)∖(V1∪V2)≠φ and edge connectivity κ′(G)=e(Vi,V(G)∖Vi) for 1≤i≤2. A multigraph is a graph with possible multiple edges, but no loops. Let τ(G) be the maximum number of edge-disjoint spanning trees of a graph G. Motivated by a question of Seymour on the relationship between eigenvalues of a graph G and bounds of τ(G), we mainly give the relationship between the third largest (signless Laplacian) eigenvalue and the bounds of κ′(G) and τ(G) of a simple graph or a multigraph G∈G, respectively." @default.
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- W2964243625 date "2018-10-08" @default.
- W2964243625 modified "2023-09-27" @default.
- W2964243625 title "Edge connectivity, packing spanning trees, and eigenvalues of graphs" @default.
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- W2964243625 doi "https://doi.org/10.1080/03081087.2018.1529732" @default.
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