Results 11 to 20 of about 2,694,831 (265)
The Critical Group of a Line Graph [PDF]
Annals of Combinatorics, 2012 The critical group of a graph is a finite abelian group whose order is the number of spanning forests of the graph. This paper provides three basic structural results on the critical group of a line graph. The first deals with connected graphs containing no cut-edge. Here the number of independent cycles in the graph, which is known to bound the number
Berget, Andrew +4 more
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Noncoercive resonant (p,2)-equations with concave terms
Advances in Nonlinear Analysis, 2018 We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplace and a Laplacian (a (p,2){(p,2)}-equation). The reaction exhibits the competing effects of a parametric concave term plus a Caratheodory perturbation which is resonant with respect
Papageorgiou Nikolaos S., Zhang Chao
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The Fucik spectrum and critical groups [PDF]
Proceedings of the American Mathematical Society, 2001 We compute critical groups of zero for variational functionals arising from semilinear elliptic boundary value problems with jumping nonlinearities when the asymptotic limits of the nonlinearity fall in certain parts of Type (II) regions between curves of the Fucik spectrum.
Perera, Kanishka, Schechter, Martin
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On some elliptic interface problems with nonhomogeneous jump conditions
Advances in Nonlinear Analysis, 2013 We obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions.
Bhaskar T. Gnana, Perera Kanishka
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Abelian networks III: The critical group [PDF]
Journal of Algebraic Combinatorics, 2015 The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph. We show that the critical group of an irreducible abelian network acts freely and transitively on recurrent states of the network.
Benjamin Bond, Lionel Levine
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A Note on the Critical Group of a Line Graph [PDF]
The Electronic Journal of Combinatorics, 2011 This note answers a question posed by Levine. The main result shows that under certain circumstances a critical group of a directed graph is the quotient of a critical group of its directed line graph.
David Perkinson +2 more
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Smith and critical groups of polar graphs [PDF]
Journal of Combinatorial Theory, Series A, 2019 We compute the elementary divisors of the adjacency and Laplacian matrices of families of polar graphs. These graphs have as vertices the isotropic one-dimensional subspaces of finite vector spaces with respect to non-degenerate forms, with adjacency given by orthogonality.
Venkata Raghu Tej Pantangi, Peter Sin
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Behavioral Sciences, 2022 Background: Critical consciousness represents an emancipatory pedagogical process whose central goal is developing the necessary skills to identify and act in the direction of changing social limitations.
Gabriela Monica Assante +2 more
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Focus groups: From collecting data to critical pedagogical practice [PDF]
Zbornik Instituta za pedagoška istraživanja, 2007 This paper presents the positivist and constructivist theory and practice of focus groups. We pointed out to the paradigmatic differences in notional attributes of focus groups, as well as to the historic circumstances of their appearance.
Pavlović Jelena, Džinović Vladimir
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Journal of Group TheoryAbstract We define and investigate the property of being “exponent-critical” for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multiple of the exponents of its proper non-abelian subgroups. We explore properties of exponent-critical groups and give a characterization of such groups.
Simon R. Blackburn +3 more
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