Results 81 to 90 of about 6,799 (133)
Laplacian coefficients of unicyclic graphs with the number of leaves and girth
, 2013 Let $G$ be a graph of order $n$ and let $\mathcal{L}(G,\lambda)=\sum_{k=0}^n (-1)^{k}c_{k}(G)\lambda^{n-k}$ be the characteristic polynomial of its Laplacian matrix. Motivated by Ili\'{c} and Ili\'{c}'s conjecture [A. Ili\'{c}, M.
Zhang, Jie, Zhang, Xiao-Dong
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Mathematische Nachrichten, Volume 297, Issue 5, Page 1749-1771, May 2024.Abstract Landscape functions are a popular tool used to provide upper bounds for eigenvectors of Schrödinger operators on domains. We review some known results obtained in the last 10 years, unify several approaches used to achieve such bounds, and extend their scope to a large class of linear and nonlinear operators. We also use landscape functions to
Delio Mugnolo
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Bounds for Incidence Energy of Some Graphs
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 Let G be a simple graph. The incidence energy (IE for short) of G is defined as the sum of the singular values of the incidence matrix. In this paper, a new upper bound for IE of graphs in terms of the maximum degree is given. Meanwhile, bounds for IE of the line graph of a semiregular graph and the paraline graph of a regular graph are obtained.
Weizhong Wang, Dong Yang, Magdy A. Ezzat
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Distance Spectra of Some Double Join Operations of Graphs
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In literature, several types of join operations of two graphs based on subdivision graph, Q‐graph, R‐graph, and total graph have been introduced, and their spectral properties have been studied. In this paper, we introduce a new double join operation based on (H1, H2)‐merged subdivision graph.
B. J. Manjunatha +4 more
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On the diameter and incidence energy of iterated total graphs
, 2018 The total graph of $G$, $\mathcal T(G)$ is the graph whose set of vertices is the union of the sets of vertices and edges of $G$, where two vertices are adjacent if and only if they stand for either incident or adjacent elements in $G$.
Lenes, Eber +3 more
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The signless Laplacian coefficients and incidence energy of bicyclic graphs
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jie Zhang, Xiao-Dong Zhang
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On spectrum and energies of enhanced power graphs
Mathematics OpenThe enhanced power graph [Formula: see text] of a group G is a simple graph with vertex set G and two distinct vertex are adjacent if and only if they belong to the same cyclic subgroup.
Pankaj Kalita, Prohelika Das
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On a new conformal functional for simplicial surfaces
, 2015 We introduce a smooth quadratic conformal functional and its weighted version $$W_2=\sum_e \beta^2(e)\quad W_{2,w}=\sum_e (n_i+n_j)\beta^2(e),$$ where $\beta(e)$ is the extrinsic intersection angle of the circumcircles of the triangles of the mesh ...
A Ben-Israel +12 more
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ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP
BarekengA graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of ...
Gusti Yogananda Karang +2 more
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Asymptotic Laplacian-Energy-Like Invariant of Lattices [PDF]
, 2014 Let $\mu_1\ge \mu_2\ge\cdots\ge\mu_n$ denote the Laplacian eigenvalues of $G$ with $n$ vertices. The Laplacian-energy-like invariant, denoted by $LEL(G)= \sum_{i=1}^{n-1}\sqrt{\mu_i}$, is a novel topological index.
Hu, Feng-Feng +3 more
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