Results 71 to 80 of about 6,799 (133)
Riemannian-geometric entropy for measuring network complexity [PDF]
, 2016 A central issue of the science of complex systems is the quantitative characterization of complexity. In the present work we address this issue by resorting to information geometry.
Felice, Domenico +3 more
core +2 more sources
On α-adjacency energy of graphs and Zagreb index
AKCE International Journal of Graphs and Combinatorics, 2021 Let A(G) be the adjacency matrix and D(G) be the diagonal matrix of the vertex degrees of a simple connected graph G. Nikiforov defined the matrix of the convex combinations of D(G) and A(G) as for If are the eigenvalues of (which we call α-adjacency ...
S. Pirzada +3 more
doaj +1 more source
Some improved bounds on two energy-like invariants of some derived graphs
Open Mathematics, 2019 Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
doaj +1 more source
Energy, Laplacian energy of double graphs and new families of equienergetic graphs [PDF]
, 2013 For a graph $G$ with vertex set $V(G)=\{v_1, v_2, \cdots, v_n\}$, the extended double cover $G^*$ is a bipartite graph with bipartition (X, Y), $X=\{x_1, x_2, \cdots, x_n\}$ and $Y=\{y_1, y_2, \cdots, y_n\}$, where two vertices $x_i$ and $y_j$ are ...
A Ganie, Hilal, S. Pirzada
core
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates the spectral and topological properties of rounded knot networks K2n, a helical extension of phenylene quadrilateral structures, through signless Laplacian spectral analysis. Motivated by the need to understand how helical topology influences network dynamics and robustness, we derive exact analytical expressions for three key ...
Fareeha Hanif +3 more
wiley +1 more source
International Journal of Combinatorics, Volume 2014, Issue 1, 2014., 2014 The association of integers, conjugate pairs, and robustness with the eigenvalues of graphs provides the motivation for the following definitions. A class of graphs, with the property that, for each graph (member) of the class, there exists a pair a, b of nonzero, distinct eigenvalues, whose sum and product are integral, is said to be eigen-bibalanced.
Paul August Winter +2 more
wiley +1 more source
On Laplacian-energy-like invariant and incidence energy [PDF]
International Journal of Group Theory, 2015 For a simple connected graph G with n -vertices having Laplacian eigenvalues μ 1 , μ 2 , … , μ n−1 , μ n =0 , and signless Laplacian eigenvalues q 1 ,q 2 ,…,q n , the Laplacian-energy-like invariant(LEL ) and the incidence energy ...
Shariefuddin Pirzada , Hilal A. Ganie
doaj
International Journal of Quantum Chemistry, Volume 124, Issue 11, June 5, 2024.Molecular structures. Abstract Malaria has a wide impact on the healthcare system, affecting everyone from hyperendemic areas who dearth access to medical treatment to international tourists returning to nonendemic regions with tertiary referral care. Implementing timely and accurate diagnosis is necessary to stop malaria's growing global effect, which
Nadeem ul Hassan Awan +5 more
wiley +1 more source
Energy Conditions for Hamiltonicity of Graphs
Discrete Dynamics in Nature and Society, Volume 2014, Issue 1, 2014., 2014 Let G be an undirected simple graph of order n. Let A(G) be the adjacency matrix of G, and let μ1(G) ≤ μ2(G)≤⋯≤μn(G) be its eigenvalues. The energy of G is defined as ℰ(G)=∑i=1n |μi(G)|. Denote by GBPT a bipartite graph. In this paper, we establish the sufficient conditions for G having a Hamiltonian path or cycle or to be Hamilton‐connected in terms ...
Guidong Yu +4 more
wiley +1 more source
Randi\'c energy and Randi\'c eigenvalues [PDF]
, 2014 Let $G$ be a graph of order $n$, and $d_i$ the degree of a vertex $v_i$ of $G$. The Randi\'c matrix ${\bf R}=(r_{ij})$ of $G$ is defined by $r_{ij} = 1 / \sqrt{d_jd_j}$ if the vertices $v_i$ and $v_j$ are adjacent in $G$ and $r_{ij}=0$ otherwise.
Li, Xueliang, Wang, Jianfeng
core