Results 41 to 50 of about 251,801 (209)

On Spectra Of Variants Of The Corona Of Two Graphs And Some New Equienergetic Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2016
Let G and H be two graphs. The join G ∨ H is the graph obtained by joining every vertex of G with every vertex of H. The corona G ○ H is the graph obtained by taking one copy of G and |V (G)| copies of H and joining the i-th vertex of G to every vertex ...
Adiga Chandrashekar, Rakshith B.R.
doaj   +1 more source

Mobius Energy of Graphs

open access: yesMathematical Notes, 2006
In the present paper we introduce Mobius energy for the embedded graphs and formulate its main properties. This energy is invariant under the action of the group generated by all inversions in three-dimensional real space. We study critical configurations for the angles at vertices of degree less than five, and discuss the techniques of construction of
openaire   +3 more sources

A template-based design methodology for graph-parallel hardware accelerators [PDF]

open access: yes, 2017
Graph applications have been gaining importance in the last decade due to emerging big data analytics problems such as Web graphs, social networks, and biological networks.
Burns, S.   +5 more
core   +1 more source

On Eccentricity Version of Laplacian Energy of a Graph [PDF]

open access: yesMathematics Interdisciplinary Research, 2017
The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian
Nilanjan De
doaj   +1 more source

Seidel Laplacian Energy of Fuzzy graphs

open access: yesEAI Endorsed Transactions on Energy Web
The energy of a graph is related to its spectrum, which is equal to the total of the latent values of the pertinent adjacency matrix. In this research work, we proposed some of the features and the energy of the Seidel Laplacian of a fuzzy graph.
K Sivaranjani   +2 more
doaj   +1 more source

Graph Energies of Egocentric Networks and Their Correlation with Vertex Centrality Measures

open access: yesEntropy, 2018
Graph energy is the energy of the matrix representation of the graph, where the energy of a matrix is the sum of singular values of the matrix. Depending on the definition of a matrix, one can contemplate graph energy, Randić energy, Laplacian energy ...
Mikołaj Morzy, Tomasz Kajdanowicz
doaj   +1 more source

On the Laplacian energy of a graph [PDF]

open access: yes, 1984
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenvalues, and prove some basic properties of this energy.
Cvetković, Dragoš   +2 more
core   +1 more source

Energetic formulation of the subgroup commutativity degree

open access: yesNonlinear Analysis
Finite groups in which every pair of subgroups (H, K) satisfies H K = K H have been classified by Iwasawa, but only in the last decade it was introduced the notion of subgroup commutativity degree sd(G) of groups G. From restrictions of numerical nature
Seid Kassaw Muhie   +2 more
doaj   +1 more source

On the Change of Distance Energy of Complete Bipartite Graph due to Edge Deletion

open access: yesJournal of Mathematics, 2021
The distance energy of a graph is defined as the sum of absolute values of distance eigenvalues of the graph. The distance energy of a graph plays an important role in many fields.
Shaowei Sun, Ziyan Wan
doaj   +1 more source

The energy of graphs and matrices

open access: yesJournal of Mathematical Analysis and Applications, 2007
We extend the concept of graph energy, introduced by Gutman, to matrices. We give upper and lower bounds on matrix energy extending previous results for graphs. In particular, we estimate the energy of almost all graphs.
openaire   +2 more sources

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