Search Results - "Pan, Yingui"
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Spectral Radius and Fractional Perfect Matchings in Graphs
Published in Graphs and combinatorics (01-06-2023)“…For an n -vertex graph G , a fractional matching of G is a function f giving each edge a real number in [0, 1] such that ∑ e ∈ Γ ( v ) f ( e ) ≤ 1 for each…”
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Bounding the total forcing number of graphs
Published in Journal of combinatorial optimization (01-11-2023)“…In recent years, a dynamic coloring, named as zero forcing, of the vertices in a graph have attracted many researchers. For a given G and a vertex subset S ,…”
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Tricyclic graphs with the minimum symmetric division deg index
Published in Discrete mathematics letters (01-01-2020)Get full text
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Kirchhoff index, multiplicative degree‐Kirchhoff index and spanning trees of the linear crossed hexagonal chains
Published in International journal of quantum chemistry (15-12-2018)“…Let Hn be a linear crossed hexagonal chain with n crossed hexagonals. In this article, we find that the Laplacian (resp. normalized Laplacian) spectrum of Hn…”
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On the geometric-arithmetic Estrada index of graphs
Published in Applied mathematics and computation (15-02-2021)“…•A novel eigenvalue-based topological index, namely the geometric-arithmetic Estrada index, is proposed based on the geometric-arithmetic matrix and the…”
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Kirchhoff Indices and Numbers of Spanning Trees of Molecular Graphs Derived from Linear Crossed Polyomino Chain
Published in Polycyclic aromatic compounds (02-01-2022)“…Polyomino systems are widely studied in organic chemistry, especially in polycyclic aromatic compounds. Let Q n be a linear crossed polyomino chain with n…”
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Resistance distance-based graph invariants and spanning trees of graphs derived from the strong prism of a star
Published in Applied mathematics and computation (01-10-2020)“…•In this paper, we consider the resistance distance-based graph invariants and spanning trees of the graph S2n derived from the strong prism of a star. We…”
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On the Laplacian Spectrum and Kirchhoff Index of Generalized Phenylenes
Published in Polycyclic aromatic compounds (21-10-2021)“…Hexagonal and quadrilateral structures are very common in the molecular structure of organic chemistry, especially in polycyclic aromatic compounds. Let L n be…”
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On the normalized Laplacians with some classical parameters involving graph transformations
Published in Linear & multilinear algebra (02-08-2020)“…Given a connected graph G, two types of graph transformations on G are considered. The graph is obtained by applying the first transformation on G, i.e. it is…”
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Resistance distance-based graph invariants and spanning trees of graphs derived from the strong product of $P_2$ and $C_n
Published 10-06-2019“…Let $G_n$ be a graph obtained by the strong product of $P_2$ and $C_n$, where $n\geqslant3$. In this paper, explicit expressions for the Kirchhoff index,…”
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Kirchhoff index, multiplicative degree-Kirchhoff index and spanning trees of the linear crossed polyomino chains
Published 16-05-2019“…Let $G_n$ be a linear crossed polyomino chain with $n$ four-order complete graphs. In this paper, explicit formulas for the Kirchhoff index, the multiplicative…”
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Signless Laplacian spectral radius and fractional matchings in graphs
Published 16-05-2019“…A fractional matching of a graph $G$ is a function $f$ giving each edge a number in $[0,1]$ such that $\sum_{e\in\Gamma(v)}f(e)\leq1$ for each vertex $v\in…”
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Signless Laplacian spectral radius and matching in graphs
Published 08-07-2020“…The signless Laplacian matrix of a graph $G$ is given by $Q(G)=D(G)+A(G)$, where $D(G)$ is a diagonal matrix of vertex degrees and $A(G)$ is the adjacency…”
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