Results 41 to 50 of about 878,120 (185)
On new results on extremal graph theory, theory of algebraic graphs, and their applications
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
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The theory of graph-like Legendrian unfoldings and its applications [PDF]
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
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Discrete Convex Functions on Graphs and Their Algorithmic Applications
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
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“Applications of Graph Theory”
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
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Continuum Percolation in the Intrinsically Secure Communications Graph
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.
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Making multigraphs simple by a sequence of double edge swaps
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
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Interpolation of Sparse Graph Signals by Sequential Adaptive Thresholds
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
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An application of graph theory to algebra [PDF]
[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 ...
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Counting Integer flows in Networks
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
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Generalized Zagreb index of some dendrimer structures
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
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