Results 11 to 20 of about 6,200,707 (327)
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.
Peter Sin, Venkata Raghu Tej Pantangi
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CRITICAL PERCOLATION OF FREE PRODUCT OF GROUPS [PDF]
International Journal of Algebra and Computation, 2008 In this article we study percolation on the Cayley graph of a free product of groups.The critical probability pcof a free product G1* G2* ⋯ * Gnof groups is found as a solution of an equation involving only the expected subcritical cluster size of factor groups G1, G2, …, Gn.
Benjamini I. +6 more
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Constant sign and nodal solutions for nonlinear Robin equations with locally defined source term
Mathematical Modelling and Analysis, 2020 We consider a parametric Robin problem driven by a nonlinear, nonhomogeneous differential operator which includes as special cases the p-Laplacian and the (p,q)-Laplacian. The source term is parametric and only locally defined (that is, in a neighborhood
Nikolaos S. Papageorgiou +2 more
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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
Andrew Berget +4 more
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Diffeomorphism groups of critical regularity [PDF]
Inventiones mathematicae, 2020 AbstractLet M be a circle or a compact interval, and let $$\alpha =k+\tau \ge 1$$ α = k + τ ≥ 1 be a real number such that $$k=\lfloor \alpha \rfloor $$ k = ⌊ α ⌋ . We write $${{\,\mathrm{Diff}\,}}_+^{\alpha }(M)$$ Diff + α ( M ) for the group of orientation preserving $$C^k$$ C k diffeomorphisms of M whose kth derivatives are Hölder
Sang-hyun Kim, Thomas Koberda
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Differential posets and restriction in critical groups [PDF]
, 2019 In recent work, Benkart, Klivans, and Reiner defined the critical group of a faithful representation of a finite group $G$, which is analogous to the critical group of a graph.
Agarwal, Ayush, Gaetz, Christian
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Periodic solutions of second order Hamiltonian systems with nonlinearity of general linear growth
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we consider a class of second order Hamiltonian system with the nonlinearity of linear growth. Compared with the existing results, we do not assume an asymptotic of the nonlinearity at infinity to exist. Moreover, we allow the system to be
Guanggang Liu
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Homological dimension and critical exponent of Kleinian groups [PDF]
, 2007 We prove that the relative homological dimension of a Kleinian group G does not exceed 1 + the critical exponent of G. As an application of this result we show that for a geometrically finite Kleinian group G, if the topological dimension of the limit ...
Kapovich, Michael
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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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Critical groups of iterated cones [PDF]
Linear Algebra and its Applications, 2019 Let G be a finite graph, and let G_n be the n-th iterated cone over G. We study the structure of the critical group of G_n arising in divisor and sandpile theory.
David Perkinson, Gopal Goel
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