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Regular Graphs, Eigenvalues and Regular Factors
Journal of Graph Theory, 2011AbstractIn this article, we obtain a sufficient condition for the existence of regular factors in a regular graph in terms of its third largest eigenvalue. We also determine all values of k such that every r‐regular graph with the third largest eigenvalue at most has a k‐factor.
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On regular and regularised varieties
Algebra Universalis, 1986Let V be an irregular variety defined by a set of regular identities and an identity of the form \(t(x,y)=t(x,z)\). (Any irregular variety can be defined in such a way.) A variety \(\bar V\) containing the regularization of V is introduced and studied. It has the following properties. \(\bar V\) is finitely based if V is.
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J. Autom. Lang. Comb., 2002
A language over a finite alphabet $X$ is regular if it can be accepted by a finite automaton. It is known that the family of all regular languages $L_3$ over $X$ is closed under catenation. This paper is a study of the regular property of the catenation of two languages.
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A language over a finite alphabet $X$ is regular if it can be accepted by a finite automaton. It is known that the family of all regular languages $L_3$ over $X$ is closed under catenation. This paper is a study of the regular property of the catenation of two languages.
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Factorization of regular multigraphs into regular graphs
Journal of Graph Theory, 1995AbstractA regular multigraph with maximum multiplicity r and degree rs cannot always be factored into r s‐regular simple graphs. It is shown, however, that under general conditions a similar factorization can be achieved if we first allow the addition or deletion of a relatively small number of hamilton cycles.
Saad I. El-Zanati +2 more
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The lattice of regular subsemigroups of a regular semigroup
Vestnik St. Petersburg University: Mathematics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The regular edge connectivity of regular networks
International Journal of Computer Mathematics: Computer Systems Theory, 2023Caixi Xue +3 more
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Regularity Results for Nonlocal Equations by Approximation
Archive for Rational Mechanics and Analysis, 2011Luis A. Caffarelli, Luis Silvestre
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Relating Shapes via Geometric Symmetries and Regularities
ACM Transactions on Graphics, 2014Qixing Huang +2 more
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Directional Stability Theorem and Directional Metric Regularity
Mathematics of Operations Research, 2006Aram Arutyunov
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