Results 1 to 10 of about 11,404 (180)
Laplacian energy of a graph [PDF]
Linear Algebra and its Applications, 2006 The authors introduce the concept of Laplacian energy of a graph \(G\) by letting \(LE(G)=\sum_{i=1}^n | \mu_i - \frac{2m}{n}| \), where \(\mu_i\), \(i=1,\dots,n\), are the eigenvalues of the Laplacian matrix of \(G\). They show that the above definition is well chosen and much in analogy with the usual graph energy \(E(G)\), which is the sum of ...
Gutman, Ivan, Zhou, Bo
openaire +2 more sources
Seidel Signless Laplacian Energy of Graphs [PDF]
Mathematics Interdisciplinary Research, 2017 Let S(G) be the Seidel matrix of a graph G of order n and let DS(G)=diag(n-1-2d1, n-1-2d2,..., n-1-2dn) be the diagonal matrix with d_i denoting the degree of a vertex v_i in G.
Harishchandra Ramane +3 more
doaj +1 more source
New bounds for Laplacian energy / Новые ограничения Лапласовой энергии / Nova ograničenja za Laplasovu energiju [PDF]
Vojnotehnički Glasnik, 2020 Introduction/purpose: The Laplacian energy (LE) is the sum of absolute values of the terms μi-2m/n, where μi , i=1,2,…,n, are the eigenvalues of the Laplacian matrix of the graph G with n vertices and m edges. The basic results of the theory of LE are
Ivan Gutman
doaj +1 more source
Laplacian Sum-Eccentricity Energy of a Graph [PDF]
Mathematics Interdisciplinary Research, 2017 We introduce the Laplacian sum-eccentricity matrix LSe of a graph G, and its Laplacian sum-eccentricity energy LSeE=∑ni=1|ηi|, where ηi=ξi-(2m/n) and where ξ1,ξ2,...,ξn are the eigenvalues of LSe. Upper bounds for LSeE are obtained. A graph is said to be
Biligirirangaiah Sharada +2 more
doaj +1 more source
Two Laplacian energies and the relations between them / Две энергии Лапласа и их соотношение / Dve Laplasove energije i odnosi među njima [PDF]
Vojnotehnički Glasnik, 2020 Introduction/purpose: The Laplacian energy (LE) is the sum of absolute values of the terms μi-2m/n, where μi, i=1,2,…,n, are the eigenvalues of the Laplacian matrix of the graph G with n vertices and m edges. In 2006, another quantity Z was introduced,
Ivan Gutman
doaj +1 more source
On the Eigenvalues and Energy of the Seidel and Seidel Laplacian Matrices of Graphs
Discrete Dynamics in Nature and SocietyLet SΓ be a Seidel matrix of a graph Γ of order n and let DΓ=diagn−1−2d1,n−1−2d2,…,n−1−2dn be a diagonal matrix with di denoting the degree of a vertex vi in Γ. The Seidel Laplacian matrix of Γ is defined as SLΓ=DΓ−SΓ.
J. Askari +2 more
doaj +1 more source
A decision-making model based on energy concepts in Fermatean Quadripartitioned Neutrosophic fuzzy graphs [PDF]
Mathematics and Computational SciencesFermatean Quadripartitioned Neutrosophic fuzzy graphs (FQNFG) is the integrating form of Fermatean and Quadripartitioned Neutrosophic fuzzy graphs. Graph energy is recognized as a crucial concept in fuzzy graph theory for its ability to handle random ...
Divya Venkatesan +3 more
doaj +1 more source
مجلة بغداد للعلومFor a commutative ring, a cross monic zero divisor graph is discussed, whose vertices are nonzero zero divisors of the commutative ring, then the two vertices x and y are adjacent if and only if xy = 0.
Sarathy Raja, Ravi Sankar Jeyaraj
doaj +1 more source
Investigation of the Main Energies of Picture Fuzzy Graph and its Applications
International Journal of Computational Intelligence Systems, 2022 Picture fuzzy graph, belonging to fuzzy graphs family, has good capabilities at times when we are faced with problems that cannot be expressed by fuzzy graphs and intuitionistic fuzzy graphs.
Xiaolong Shi +4 more
doaj +1 more source
A Note on the Laplacian Energy of the Power Graph of a Finite Cyclic Group
Sakarya Üniversitesi Fen Bilimleri Enstitüsü DergisiIn this study, the Laplacian matrix concept for the power graph of a finite cyclic group is redefined by considering the block matrix structure. Then, with the help of the eigenvalues of the Laplacian matrix in question, the concept of Laplacian energy ...
Şerife Büyükköse +1 more
doaj +1 more source