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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 13
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 13, Issue 4, December 1998
  4. Packings of the complete directed graph with m-circuits
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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 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 13, Issue 4, December 1998
On critical exponents for semilinear heat equations with nonlinear boundary conditions
Dirichlet problem for the implicit obstacle problems
Attractor for weakly damped driven long wave-short wave resonance equation
Limit cycles and Center-Focus of nonlinear systems
Linearized oscillations of delay differential equations and applications
Oscillations of solution for a class of higher-order neutral differential equation
On the hyper-order of meromorphic solutions of linear differential equations
Computing karmarkar’s projections in stochastic linear programming
Single machine scheduling with controllable processing times and compression costs (part i: equal times and costs)
Single machine scheduling with controllable processing times and compression costs:proof of theorems
Approximate common divisors of polynomials and degree reduction for rational curves
The relationship between projective geometric and rational quadratic b-spline curves
The bandwidth of the complement of A K-TREE
Some properties of a class of interchange graphs
Packings of the complete directed graph with m-circuits
The existence theorem of the cone-weak subdifferential of set-valued mapping
Applied Mathematics-A Journal of Chinese Universities : Volume 13, Issue 3, September 1998
Applied Mathematics-A Journal of Chinese Universities : Volume 13, Issue 2, June 1998
Applied Mathematics-A Journal of Chinese Universities : Volume 13, Issue 1, March 1998
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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Packings of the complete directed graph with m-circuits

Content Provider Springer Nature Link
Author Zhihe, Liang Qingde, Kang
Copyright Year 1998
Abstract A packing of the complete directed symmetric graph DK$_{v}$ with m-circuits, denoted by (v,m)-DCP, is defined to be a family of arc-disjoint m-circuits of DK$_{v}$ such that any one arc of DK$_{v}$ occurs in at most one m-circuit. The packing number P(v,m) is the maximum number of m-circuits in such a packing. The packing problem is to determine the value P(v,m) for every integer v ≥ m. In this paper, the problem is reduced to the case $$m + 6 \leqslant \upsilon \leqslant 2m{\text{ - }}\left[ {\frac{{\sqrt {{\text{4}}m - 3 + 1} }}{2}} \right]$$ for any fixed even integer m≥4. In particular, the values of P(v,m) are completely determined for m = 12, 14 and 16.
Starting Page 463
Ending Page 472
Page Count 10
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 13
Issue Number 4
e-ISSN 19930445
Language English
Publisher Editorial Committee of Applied Mathematics
Publisher Date 1998-01-01
Publisher Place Hangzhou
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Complete directed graph m-circuit packing packing number Mathematics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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