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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 27
  3. Acta Mathematica Sinica, English Series : Volume 27, Issue 9, September 2011
  4. Graphs whose critical groups have larger rank
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 27, Issue 12, December 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 11, November 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 10, October 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 9, September 2011
Graphs whose critical groups have larger rank
Stochastic generalized porous media equations with Lévy jump
Von Neumann algebras associated with the group SL 2(ℝ)
Behavior of theta-series under modular substitutions
The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations
Commuting dual Toeplitz operators on weighted Bergman spaces of the unit ball
Dirac-Lu space with pseudo-Riemannian metric of constant curvature
Numbers of subnormal solutions for higher order periodic differential equations
Interpolation and convergence of Bernstein-Bézier coefficients
Boundedness for parabolic singular integral with rough kernels and its commutators on Triebel-Lizorkin spaces
Global optimization of a class of nonconvex quadratically constrained quadratic programming problems
Rate function of large deviation for a class of nonhomogeneous markov chains on supercritical percolation network
Semiparametric additive intensity model with frailty for recurrent events
Local asymptotics of a Markov modulated random walk with heavy-tailed increments
Smooth solutions for a stochastic hydrodynamical equation in Heisenberg paramagnet
The maximum surplus distribution before ruin in an Erlang(n) risk process perturbed by diffusion
Acta Mathematica Sinica, English Series : Volume 27, Issue 8, August 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 7, July 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 6, June 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 5, May 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 4, April 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 3, March 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 2, February 2011
Acta Mathematica Sinica, English Series : Volume 27, Issue 1, January 2011
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Graphs whose critical groups have larger rank

Content Provider SpringerLink
Author Hou, Yao Ping Chan, Wai Hong Shiu, Wai Chee
Copyright Year 2011
Abstract The critical group C(G) of a graph G is a refinement of the number of spanning trees of the graph and is closely connected with the Laplacian matrix. Let r(G) be the minimum number of generators (i.e., the rank) of the group C(G) and β(G) be the number of independent cycles of G. In this paper, some forbidden induced subgraphs are given for r(G) = n − 3 and all graphs with r(G) = β(G) = n − 3 are characterized.
Ending Page 1670
Page Count 8
Starting Page 1663
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 9
Volume Number 27
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2011-08-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Critical group of a graph Graphs and abstract algebra (groups, rings, fields, etc.) Laplacian matrix Mathematics Graphs and linear algebra (matrices, eigenvalues, etc.) Smith normal form
Content Type Text
Resource Type Article
Subject Applied Mathematics
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