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» Cycle decompositions of the complete graph
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GC
2006
Springer
13 years 8 months ago
On n-partite Tournaments with Unique n-cycle
An n-partite tournament is an orientation of a complete n-partite graph. An npartite tournament is a tournament, if it contains exactly one vertex in each partite set. Douglas, Pr...
Gregory Gutin, Arash Rafiey, Anders Yeo
ICRA
2010
IEEE
131views Robotics» more  ICRA 2010»
13 years 6 months ago
Optimal coverage of a known arbitrary environment
— The problem of coverage of known space by a mobile robot has many applications. Of particular interest is providing a solution that guarantees the complete coverage of the free...
Raphael Mannadiar, Ioannis M. Rekleitis
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 8 months ago
The overlap number of a graph
An overlap representation is an assignment of sets to the vertices of a graph in such a way that two vertices are adjacent if and only if the sets assigned to them overlap. The ov...
Bill Rosgen, Lorna Stewart
COMBINATORICA
2008
89views more  COMBINATORICA 2008»
13 years 8 months ago
The stable set polytope of quasi-line graphs
It is a long standing open problem to find an explicit description of the stable set polytope of clawfree graphs. Yet more than 20 years after the discovery of a polynomial algori...
Friedrich Eisenbrand, Gianpaolo Oriolo, Gautier St...
AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
14 years 2 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian