Results 41 to 50 of about 382,145 (280)

Characterizations of the Family of All Generalized Line Graphs—Finite and Infinite—and Classification of the Family of All Graphs Whose Least Eigenvalues ≥ −2

open access: yesDiscussiones Mathematicae Graph Theory, 2013
The infimum of the least eigenvalues of all finite induced subgraphs of an infinite graph is defined to be its least eigenvalue. In [P.J. Cameron, J.M. Goethals, J.J. Seidel and E.E. Shult, Line graphs, root systems, and elliptic geometry, J. Algebra 43 (
Vijayakumar Gurusamy Rengasamy
doaj   +1 more source

Graphs whose vertex set can be partitioned into a total dominating set and an independent dominating set [PDF]

open access: yesOpuscula Mathematica
A graph \(G\) whose vertex set can be partitioned into a total dominating set and an independent dominating set is called a TI-graph. We give constructions that yield infinite families of graphs that are TI-graphs, as well as constructions that yield ...
Teresa W. Haynes, Michael A. Henning
doaj   +1 more source

On infinite circulant-balanced complete multipartite graphs decompositions based on generalized algorithmic approaches

open access: yesAlexandria Engineering Journal, 2022
Graph theory is a powerful and essential tool for applied scientists and engineers in analyzing and designing algorithms for several problems. Graph theory has a vital role in complex systems, especially in computer sciences. Applications of graph theory
A. El-Mesady   +2 more
doaj   +1 more source

Infinite matroids in graphs

open access: yesDiscrete Mathematics, 2011
It has recently been shown that infinite matroids can be axiomatized in a way that is very similar to finite matroids and permits duality. This was previously thought impossible, since finitary infinite matroids must have non-finitary duals. In this paper we illustrate the new theory by exhibiting its implications for the cycle and bond matroids of ...
Henning Bruhn, Reinhard Diestel
openaire   +2 more sources

Context-Sensitive Languages, Rational Graphs and Determinism [PDF]

open access: yesLogical Methods in Computer Science, 2006
We investigate families of infinite automata for context-sensitive languages. An infinite automaton is an infinite labeled graph with two sets of initial and final vertices.
Arnaud Carayol, Antoine Meyer
doaj   +1 more source

A Framework for Rewriting Families of String Diagrams [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
We describe a mathematical framework for equational reasoning about infinite families of string diagrams which is amenable to computer automation. The framework is based on context-free families of string diagrams which we represent using context-free ...
Vladimir Zamdzhiev
doaj   +1 more source

Unicorn paths and hyperfiniteness for the mapping class group

open access: yesForum of Mathematics, Sigma, 2021
Let S be an orientable surface of finite type. Using Pho-on’s infinite unicorn paths, we prove the hyperfiniteness of orbit equivalence relations induced by the actions of the mapping class group of S on the Gromov boundaries of the arc graph and the ...
Piotr Przytycki, Marcin Sabok
doaj   +1 more source

Continuous Orbit Equivalence on Self-Similar Graph Actions

open access: yesMathematics, 2019
For self-similar graph actions, we show that isomorphic inverse semigroups associated to a self-similar graph action are a complete invariant for the continuous orbit equivalence of inverse semigroup actions on infinite path spaces.
Inhyeop Yi
doaj   +1 more source

A Comprehensive Overview on the Formation of Homomorphic Copies in Coset Graphs for the Modular Group

open access: yesJournal of Mathematics, 2021
This work deals with the well-known group-theoretic graphs called coset graphs for the modular group G and its applications. The group action of G on real quadratic fields forms infinite coset graphs. These graphs are made up of closed paths. When M acts
Hanan Alolaiyan   +3 more
doaj   +1 more source

ON LOCAL ANTIMAGIC CHROMATIC NUMBER OF GRAPHS [PDF]

open access: yesJournal of Algebraic Systems, 2020
A {it local antimagic labeling} of a connected graph $G$ with at least three vertices, is a bijection $f:E(G) rightarrow {1,2,ldots , |E(G)|}$ such that for any two adjacent vertices $u$ and $v$ of $G$, the condition $omega _{f}(u) neq omega _{f}(v ...
S. Shaebani
doaj   +1 more source

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