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COCOON
2006
Springer
15 years 5 months ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian
ISCAPDCS
2004
15 years 3 months ago
Adaptive-Subcube Fault Tolerant Routing in Dual-Cube with Very Large Number of Faulty Nodes
The dual-cube is a newly proposed interconnection network for linking a large amount of nodes with low node degree. It uses low-dimensional hypercubes as building blocks and keeps...
Yamin Li, Shietung Peng, Wanming Chu
113
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ORL
2007
82views more  ORL 2007»
15 years 1 months ago
The path partition problem and related problems in bipartite graphs
We prove that it is NP-complete to decide whether a bipartite graph of maximum degree three on nk vertices can be partitioned into n paths of length k. Finally, we propose some ap...
Jérôme Monnot, Sophie Toulouse
BIRTHDAY
2009
Springer
15 years 8 months ago
On Path Partitions and Colourings in Digraphs
We provide a new proof of a theorem of Saks which is an extension of Greene’s Theorem to acyclic digraphs, by reducing it to a similar, known extension of Greene and Kleitman’s...
Irith Ben-Arroyo Hartman
DM
2006
91views more  DM 2006»
15 years 1 months ago
Restricted Dumont permutations, Dyck paths, and noncrossing partitions
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some ...
Alexander Burstein, Sergi Elizalde, Toufik Mansour