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» Cycle decompositions of the complete graph
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GC
2006
Springer
15 years 6 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»
15 years 5 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»
15 years 6 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»
15 years 6 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»
16 years 26 days 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