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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 23
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 23, Issue 3, September 2008
  4. On K $_{1,k }$-factorization of bipartite multigraphs
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Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 23, Issue 4, December 2008
Applied Mathematics-A Journal of Chinese Universities : Volume 23, Issue 3, September 2008
Asymptotic solution for EI Ni $$ \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{n} $$ o-southern oscillation of nonlinear model
Survival probability and ruin probability of a risk model
Testing heteroscedasticity in nonparametric regression models based on residual analysis
Singular integral on bounded strictly pseudoconvex domain
Monotone positive solution for three-point boundary value problem
Constructing exact solutions to discrete systems with the trial function method
Existence and uniqueness of periodic solutions for forced Liénard-type equations
Mean size formula of wavelet subdivision tree on Heisenberg group
Two-weight weak-type inequalities for potential type operators
Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings
An application of Furuta inequality and its best possibility
Optimality conditions and duality for a class of nondifferentiable multiobjective generalized fractional programming problems
On K $_{1,k }$-factorization of bipartite multigraphs
3-restricted connectivity of graphs with given girth
Quaternary quasi-cyclic codes
Smash product algebras over twisted dimodule algebras
A new modified remote user authentication scheme using smart cards
Applied Mathematics-A Journal of Chinese Universities : Volume 23, Issue 2, June 2008
Applied Mathematics-A Journal of Chinese Universities : Volume 23, Issue 1, March 2008
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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On K $_{1,k }$-factorization of bipartite multigraphs

Content Provider Springer Nature Link
Author Wang, Jian
Copyright Year 2008
Abstract A K $_{1,k }$-factorization of λK $_{ m,n }$ is a set of edge-disjoint K $_{1,k }$-factors of λK $_{ m,n }$, which partition the set of edges of λK $_{ m,n }$. In this paper, it is proved that a sufficient condition for the existence of K $_{1,k }$-factorization of λK $_{ m,n }$, whenever k is any positive integer, is that (1) m ≤ kn, (2) n ≤ km, (3) km − n ≡ kn − m ≡ 0 (mod (k $^{2}$ − 1)) and (4) λ(km − n)(kn − m) ≡ 0 (mod k(k − 1)(k $^{2}$ − 1)(m + n)).
Starting Page 345
Ending Page 350
Page Count 6
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 23
Issue Number 3
e-ISSN 19930445
Language English
Publisher SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Publisher Date 2008-09-07
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword factor factorization bipartite multigraph Applications of Mathematics Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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