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- W4381888917 abstract "Let G be a graph and S a subset of V(G). A graph G is called S-leaf-connected if G has a spanning tree T such that S is the set of leaves of T. For k⩾2, we say that a graph G is k-leaf-connected if |V(G)|>k and given any subset S of V(G) with |S|=k, G is S-leaf-connected. For 0≤α<1, α-spectral radius of G is the spectral radius of Aα(G)=αD(G)+(1−α)A(G), where D(G) and A(G) are the diagonal matrix of the vertex degrees and the adjacency matrix of G, respectively. In this paper, by utilizing the closure technique, we obtain a sufficient condition for a graph to be k-leaf-connected in terms of the number of cliques, which generalizes the result of Zhou et al. (2020). Furthermore, we give some sufficient conditions for a graph G to be k-leaf-connected in terms of α-spectral radius of G." @default.
- W4381888917 created "2023-06-25" @default.
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- W4381888917 date "2023-11-01" @default.
- W4381888917 modified "2023-09-27" @default.
- W4381888917 title "Some sufficient conditions for graphs being <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e35 altimg=si32.svg><mml:mi>k</mml:mi></mml:math>-leaf-connected" @default.
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- W4381888917 doi "https://doi.org/10.1016/j.dam.2023.06.009" @default.
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