Results 41 to 50 of about 878,120 (185)

On new results on extremal graph theory, theory of algebraic graphs, and their applications

open access: yesДоповiдi Нацiональної академiї наук України, 2022
New explicit constructions of infinite families of finite small world graphs of large girth with well-defined projective limits which is an infinite tree are described.
V.O. Ustimenko
doaj   +1 more source

The theory of graph-like Legendrian unfoldings and its applications [PDF]

open access: yes, 2014
This is mainly a survey article on the recent development of the theory of graph-like Legendrian unfoldings and its applications. The notion of big Legendrian submanifolds was introduced by Zakalyukin for describing the wave front propagations.
Izumiya, Shyuichi
core  

Discrete Convex Functions on Graphs and Their Algorithmic Applications

open access: yes, 2017
The present article is an exposition of a theory of discrete convex functions on certain graph structures, developed by the author in recent years.
A Bernáth   +36 more
core   +1 more source

“Applications of Graph Theory”

open access: yesInternational Journal of Latest Technology in Engineering Management & Applied Science
Abstract: Graph theory is a fundamental area of mathematics with diverse applications across multiple fields. It provides a structural framework for solving complex problems by representing objects and their relationships as graphs. In computer science, graph theory is used in networking, algorithms, and artificial intelligence. It plays a crucial role
null Rohini Gore   +3 more
openaire   +1 more source

Continuum Percolation in the Intrinsically Secure Communications Graph

open access: yes, 2010
The intrinsically secure communications graph (iS-graph) is a random graph which captures the connections that can be securely established over a large-scale network, in the presence of eavesdroppers.
Pinto, Pedro C., Win, Moe Z.
core   +1 more source

Making multigraphs simple by a sequence of double edge swaps

open access: yes, 2021
We show that any loopy multigraph with a graphical degree sequence can be transformed into a simple graph by a finite sequence of double edge swaps with each swap involving at least one loop or multiple edge.
Sjöstrand, Jonas
core  

Interpolation of Sparse Graph Signals by Sequential Adaptive Thresholds

open access: yes, 2017
This paper considers the problem of interpolating signals defined on graphs. A major presumption considered by many previous approaches to this problem has been lowpass/ band-limitedness of the underlying graph signal.
Fallah, Maryam   +2 more
core   +1 more source

An application of graph theory to algebra [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
[Al, * * * , Ak ] 54-0. The original proof of the theorem [1] was elementary but very complicated. In attempting to simplify this proof, I found a more transparent proof based on the use of graph theory.3 One advantage of this approach is that complicated algebraic definitions can be replaced by much simpler geometric definitions merely by drawing a ...
openaire   +2 more sources

Counting Integer flows in Networks

open access: yes, 2003
This paper discusses new analytic algorithms and software for the enumeration of all integer flows inside a network. Concrete applications abound in graph theory \cite{Jaeger}, representation theory \cite{kirillov}, and statistics \cite{persi}.
Baldoni-Silva, W.   +2 more
core   +2 more sources

Generalized Zagreb index of some dendrimer structures

open access: yesUniversal Journal of Mathematics and Applications, 2018
Chemical graph theory, is a branch of mathematical chemistry which deals with the nontrivial applications of graph theory to solve molecular problem. A chemical graph is represent a molecule by considering the atoms as the vertices and bonds between them
Anita Pal   +3 more
doaj   +1 more source

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