Results 21 to 30 of about 1,373,880 (187)

On Total H-Irregularity Strength of the Disjoint Union of Graphs

Discussiones Mathematicae Graph Theory, 2020
A simple graph G admits an H-covering if every edge in E(G) belongs to at least to one subgraph of G isomorphic to a given graph H. For the subgraph H ⊆ G under a total k-labeling we define the associated H-weight as the sum of labels of all vertices and
Ashraf Faraha, López Susana Clara, Muntaner-Batle Francesc Antoni, Oshima Akito, Bača Martin, Semaničová-Feňovčíková Andrea   +5 more
doaj   +1 more source

The Box Graph In Superstring Theory [PDF]

, 1994
In theories of closed oriented superstrings, the one loop amplitude is given by a single diagram, with the topology of a torus. Its interpretation had remained obscure, because it was formally real, converged only for purely imaginary values of the ...
Amano, Amano, Aoki, Berera, Berera, Berkovits, Berkovits, Bjorken, Chew, Chiu, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D.H. Phong, Eden, Eric D'Hoker, Green, Green, Green, Gross, Gross, Gross, Hata, Itzykson, Mandelstam, Mandelstam, Mandelstam, Mandelstam, Marcus, Martinec, Miranski, Mitchell, Mitchell, Montag, Montag, Moore, Polchinski, Polyakov, Sundborg, Todorov, Zwiebach, Zwiebach   +43 more
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Group actions and coverings of Brauer graph algebras [PDF]

, 2012
We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer graph can be covered by a tower of coverings of Brauer graphs such that the ...
Green, Edward L, Schroll, Sibylle, Snashall, Nicole   +2 more
core   +1 more source

Solutions of Detour Distance Graph Equations

Sensors, 2022
Graph theory is a useful mathematical structure used to model pairwise relations between sensor nodes in wireless sensor networks. Graph equations are nothing but equations in which the unknown factors are graphs.
S. Celine Prabha, M. Palanivel, S. Amutha, N. Anbazhagan, Woong Cho, Hyoung-Kyu Song, Gyanendra Prasad Joshi, Hyeonjoon Moon   +7 more
doaj   +1 more source

Generalized inverses in graph theory

AKCE International Journal of Graphs and Combinatorics, 2023
–In this article, some interesting applications of generalized inverses in the graph theory are revisited. Interesting properties of generalized inverses are employed to make the proof of several known results simpler, and several techniques such as ...
Umashankara Kelathaya, Ravindra B. Bapat, Manjunatha Prasad Karantha   +2 more
doaj   +1 more source

Graph-based linear scaling electronic structure theory [PDF]

, 2016
We show how graph theory can be combined with quantum theory to calculate the electronic structure of large complex systems. The graph formalism is general and applicable to a broad range of electronic structure methods and materials, including ...
Bock, Nicolas, Cawkwell, Marc J., Djidjev, Hristo, Germann, Timothy C., Mniszewski, Susan M., Mohd-Yusof, Jamal, Negre, Christian F. A., Niklasson, Anders M. N., Rubensson, Emanuel H., Swart, Pieter J., Wall, Michael E.   +10 more
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Sampling and Reconstruction of Sparse Signals on Circulant Graphs - An Introduction to Graph-FRI

, 2017
With the objective of employing graphs toward a more generalized theory of signal processing, we present a novel sampling framework for (wavelet-)sparse signals defined on circulant graphs which extends basic properties of Finite Rate of Innovation (FRI)
Dragotti, Pier Luigi, Kotzagiannidis, Madeleine S.   +1 more
core   +1 more source

On the Beta-Number of Forests with Isomorphic Components

Discussiones Mathematicae Graph Theory, 2018
The beta-number, β (G), of a graph G is defined to be either the smallest positive integer n for which there exists an injective function f : V (G) → {0, 1, . . .
Ichishima Rikio, López Susana-Clara, Muntaner-Batle Francesc Antoni, Oshima Akito   +3 more
doaj   +1 more source

Expanding Horizons: Graph Theory’s Multifaceted Applications [PDF]

E3S Web of Conferences
A subfield of mathematics called graph theory studies networks of points interconnected by lines. Researchers may model and examine the structure of a network using graph theory.
Saxena Abhishek, V Asha, Lalitha G., Khangar Vipin, Praveen, Tyagi Lalit Kumar, Almusawi Muntather   +6 more
doaj   +1 more source

Comparative Study of Prism Octahedron Network via Eccentric Invariants

Journal of Chemistry, 2023
Topological indices are empirical features of graphs that characterize the topology of the graph and, for the most part, are graph independent. An important branch of graph theory is chemical graph theory.
Haidar Ali, Didar Abdulkhaleq Ali, Muhammad Nadeem, Parvez Ali, Syed Ajaz K. Kirmani, Mohamed Sesay   +5 more
doaj   +1 more source