On the distance signless laplacian of a graph
Web13 de mai. de 2024 · For a simple graph G on n vertices, the signless Laplacian Estrada index is defined as SLEE (G) = n i=1 e q i , where q 1 , q 2 ,. .. , q n are the eigenvalues … Web28 de ago. de 2013 · For example, Aouchiche and Hansen [3] showed that the star S n is the unique tree with minimum distance Laplacian spectral radius. Xing et al. [15] …
On the distance signless laplacian of a graph
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WebThe distance signless Laplacian spectral radius of a connected graph , denoted by , is the maximal eigenvalue of the distance signless Laplacian matrix of . In this paper, we find … WebLet G be a connected non-bipartite graph on n vertices with domination number @c@?n+13. We present a lower bound for the least eigenvalue of the signless …
Web9 de mar. de 2024 · We order the partial sun graphs by using their second largest distance Laplacian eigenvalue. Moreover, the distance Laplacian energy of sun and partial sun graphs have been derived in this paper. These graphs are also ordered by using their distance Laplacian energies. References WebAssume that R is a commutative ring with nonzero identity. The comaximal graph of R, denoted by Γ(R), is a simple graph whose vertex set consists of all elements of R, and …
Web12 de mar. de 2024 · Let G be a simple, connected graph, D(G) be the distance matrix of G, and Tr(G) be the diagonal matrix of vertex transmissions of G.The distance signless … Webdistance signless Laplacian spectrum (matrix) transmission regular graph generalized distance matrix generalized distance spectral spread AMS Subject Classifications: Primary: 05C50 05C12 Secondary: 15A18 Acknowledgments
WebWe study the distance Laplacian energy of connected graphs with given chromatic number χ. We show that among all connected graphs with chromatic number χ the complete χ -partite graph has the minimum distance Laplacian energy. Further, we discuss the distribution of distance Laplacian eigenvalues around average transmission degree …
WebLet G = ( V , E ) be a simple graph. Denote by D ( G ) the diagonal matrix of its vertex degrees and by A ( G ) its adjacency matrix. Then the Laplacian matrix of G is L ( G ) = … immortal treeWeb9 de ago. de 2024 · The signless Laplacian spectral radius of graphs without intersecting odd cycles. Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang. Let be a graph consisting of … list of uses for hempWebThe distance Laplacian energy of a graph G is defined as the mean deviation of the values of the distance Laplacian eigenvalues of G: Similarly, the distance signless Laplacian energy can be viewed as the mean deviation of the values of the distance signless Laplacian eigenvalues of G: Recent results on and can be found (see, e.g., [ … list of used carsWebIn this paper, we obtain the distance Laplacian spectrum of power graphs of finite groups such as cyclic groups, dihedral groups, dicyclic groups, … immortal treasure 2 2016Web17 de dez. de 2024 · Browse Figure Citation Export Abstract Let G be a simple undirected graph containing n vertices. Assume G is connected. Let be the distance matrix, be the distance Laplacian, be the distance signless Laplacian, and be the diagonal matrix of the vertex transmissions, respectively. immortal tree meaningWeb一个图的Laplacian谱定义为它的Laplacian矩阵的所有特征值的集合.图的Laplacian谱在数学,物理和化学方面都有广泛应用,因此被大量研究.应用图的直积的Laplacian谱以及循环矩阵的谱理论,得到了超立方体图和完全图去掉一个完美匹配的Laplacian谱. immortal\\u0027s handbook greater deityWeb20 de mar. de 2024 · We obtain a relationship between the Laplacian energy and the distance Laplacian energy for graphs with diameter 2. We obtain lower bounds for the … immortal tree california