Results 21 to 30 of about 252,020 (311)

A survey of two-dimensional graph layout techniques for information visualisation [PDF]

open access: yes, 2012
Many algorithms for graph layout have been devised over the last 30 years spanning both the graph drawing and information visualisation communities. This article first reviews the advances made in the field of graph drawing that have then often been ...
Vickers, Paul, Gibson, Helen, Faith, Joe
core   +1 more source

Upper bounds for the extended energy of graphs and some extended equienergetic graphs [PDF]

open access: yesOpuscula Mathematica, 2018
In this paper, we give two upper bounds for the extended energy of a graph one in terms of ordinary energy, maximum degree and minimum degree of a graph, and another bound in terms of forgotten index, inverse degree sum, order of a graph and minimum ...
Chandrashekar Adiga, B. R. Rakshith
doaj   +1 more source

Time-Dependent Lagrangian Energy Systems on Supermanifolds with Graph Bundles

open access: yesJournal of Mathematics, 2021
The aim of this article is firstly to improve time-dependent Lagrangian energy equations using the super jet bundles on supermanifolds. Later, we adapted this study to the graph bundle.
Cansel Aycan, Simge Şimşek
doaj   +1 more source

Bounds on Energy and Laplacian Energy of Graphs [PDF]

open access: yesJournal of the Indonesian Mathematical Society, 2017
Let G be simple graph with n vertices and m edges. The energy E(G) of G, denotedby E(G), is dened to be the sum of the absolute values of the eigenvalues of G. Inthis paper, we present two new upper bounds for energy of a graph, one in terms ofm,n and another in terms of largest absolute eigenvalue and the smallest absoluteeigenvalue.
Sridhara, G., Kanna, Rajesh M. R.
openaire   +2 more sources

Bond graph analysis in robust engineering design [PDF]

open access: yes, 2000
Within engineering design, optimization often involves building models of working systems to improve design objectives such as performance, reliability and cost.
GABBRIELLI R.   +22 more
core   +1 more source

Bounds for the Energy of Graphs

open access: yesHacettepe Journal of Mathematics and Statistics, 2016
© 2016, Hacettepe University. All rights reserved. The energy of a graph G, denoted by E(G), is the sum of the absolute values of all eigenvalues of G. In this paper we present some lower and upper bounds for E(G) in terms of number of vertices, number of edges, and determinant of the adjacency matrix.
DAS, Kinkar Ch., GUTMAN, İvan
openaire   +3 more sources

Remarks on the bounds of graph energy in terms of vertex cover number or matching number [PDF]

open access: yes, 2021
summary:We give a novel upper bound on graph energy in terms of the vertex cover number, and present a complete characterization of the graphs whose energy equals twice their matching ...
Liu, Xiaoqian, Chen, Xiaodan
core   +1 more source

On the spectrum, energy and Laplacian energy of graphs with self-loops

open access: yesHeliyon, 2023
The total energy of a conjugated molecule's π-electrons is a quantum-theoretical feature that has been known since the 1930s. It is determined using the Huckel tight-binding molecular orbital (HMO) method.
Ugasini Preetha P   +2 more
doaj   +1 more source

Investigation of the Main Energies of Picture Fuzzy Graph and its Applications

open access: yesInternational 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

Graph Theory: A Lost Component For Development in Nigeria

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
Graph theory is one of the neglected branches of mathematics in Nigeria but with the most applications in other fields of research. This article shows the paucity, importance, and necessity of graph theory in the development of Nigeria.
Olayiwola Babarinsa
doaj   +1 more source

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