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Determining Sets, Resolving Sets, and the Exchange Property [PDF]
Graphs and Combinatorics, 2009 A subset U of vertices of a graph G is called a determining set if every automorphism of G is uniquely determined by its action on the vertices of U. A subset W is called a resolving set if every vertex in G is uniquely determined by its distances to the vertices of W. Determining (resolving) sets are said to have the exchange property in G if whenever
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Properties of a Complete Fuzzy Normed Algebra
مجلة بغداد للعلوم, 2019 The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given.
Kider et al.
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Resolving-power dominating sets
Applied Mathematics and Computation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sudeep Stephen +3 more
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Levenshtein graphs: Resolvability, automorphisms & determining sets
Discrete Mathematics, 2023 22 pages, 3 ...
Perrin E. Ruth, Manuel E. Lladser
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Wronskians, dualities and FZZT-Cardy branes
Nuclear Physics B, 2016 The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan +3 more
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Graph convergence with an application for system of variational inclusions and fixed-point problems
Journal of Inequalities and Applications, 2022 This paper aims at proposing an iterative algorithm for finding an element in the intersection of the solutions set of a system of variational inclusions and the fixed-points set of a total uniformly L-Lipschitzian mapping. Applying the concepts of graph
Javad Balooee, Jen-Chih Yao
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Parametric generalized set-valued variational inclusions and resolvent equations [PDF]
, 2004 In this paper, we develop the sensitivity analysis for generalized set-valued variational inclusions and generalized resolvent equations. We establish the equivalence between the parametric generalized set-valued variational inclusions and parametric ...
Salahuddin,
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Kyoto Journal of Mathematics, 1986 We want to add here another two proofs that the resolvent set of a linear operator is open. The first proof depends on the Hahn-Banach theorem and the second on the Neumann series construction of a linear isomorphism between Ran(A-\(\lambda)\) and Ran(A-\(\mu)\).
Ikebe, Teruo, Yoshioka, Takashi
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Eigenvalue problem for differential Cauchy-Riemann operator with nonlocal boundary conditions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We consider the reduced spectral problem for the Cauchy-Riemann operator with nonlocal boundary conditions to Fredholm linear integral equation of the second kind with a continuous kernel. The corresponding Fredholm determinant is defined for all spectral
Nurlan N Imanbaev
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Spectrum of a family of operators [PDF]
Surveys in Mathematics and its Applications, 2011 Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space.
Simona Macovei
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