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2008
125views more  DM 2008»
15 years 24 days ago
Difference systems of sets and cyclotomy
Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection with code synchronization. A method for the construction of DSS from partitions of cycli...
Yukiyasu Mutoh, Vladimir D. Tonchev
DM
2008
98views more  DM 2008»
15 years 24 days ago
Constructing equidissections for certain classes of trapezoids
We investigate equidissections of a trapezoid T(a), where the ratio of the lengths of two parallel sides is a. (An equidissection is a dissection into triangles of equal areas.) A...
Charles H. Jepsen, Paul Monsky
116
Voted
DM
2008
68views more  DM 2008»
15 years 24 days ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
87
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DM
2008
82views more  DM 2008»
15 years 8 days ago
Product action
This paper studies the cycle indices of products of permutation groups. The main focus is on the product action of the direct product of permutation groups. The number of orbits o...
Peter J. Cameron, Daniele A. Gewurz, Francesca Mer...
DM
2008
86views more  DM 2008»
15 years 24 days ago
Hamiltonian properties of triangular grid graphs
A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. In 2000, Reay and Zamfirescu showed that all 2-conne...
Valery S. Gordon, Yury L. Orlovich, Frank Werner