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Gear Composition and the Stable Set Polytope
- Source :
- AIRO 2007, Genova-Italia, 2007, info:cnr-pdr/source/autori:Galluccio, A.; Gentile, C.; Ventura, P./congresso_nome:AIRO 2007/congresso_luogo:Genova-Italia/congresso_data:2007/anno:2007/pagina_da:/pagina_a:/intervallo_pagine, 12th Workshop on Combinatorial Optimization, Aussois-France, 2008, info:cnr-pdr/source/autori:Galluccio, A.; Gentile, C.; Ventura, P./congresso_nome:12th Workshop on Combinatorial Optimization/congresso_luogo:Aussois-France/congresso_data:2008/anno:2008/pagina_da:/pagina_a:/intervallo_pagine, Operations research letters 36 (2008): 419–423. doi:10.1016/j.orl.2008.01.003, info:cnr-pdr/source/autori:Galluccio, A.; Gentile, C.; Ventura, P./titolo:Gear composition and the Stable Set Polytope/doi:10.1016%2Fj.orl.2008.01.003/rivista:Operations research letters/anno:2008/pagina_da:419/pagina_a:423/intervallo_pagine:419–423/volume:36
- Publication Year :
- 2007
-
Abstract
- We present a new graph composition that produces a graph G from a given graph H and a fixed graph B called gear and we study its polyhedral properties. This composition yields counterexamples to a conjecture on the facial structure of$STAB(G) when G is claw-free.
- Subjects :
- Factor-critical graph
Discrete mathematics
Applied Mathematics
Voltage graph
Management Science and Operations Research
Industrial and Manufacturing Engineering
law.invention
claw-free graphs
Combinatorics
Edge-transitive graph
law
Graph power
TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY
Line graph
Cubic graph
graph composition
Null graph
polyhedral combinatorics
Software
Complement graph
stable set polytope
MathematicsofComputing_DISCRETEMATHEMATICS
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- AIRO 2007, Genova-Italia, 2007, info:cnr-pdr/source/autori:Galluccio, A.; Gentile, C.; Ventura, P./congresso_nome:AIRO 2007/congresso_luogo:Genova-Italia/congresso_data:2007/anno:2007/pagina_da:/pagina_a:/intervallo_pagine, 12th Workshop on Combinatorial Optimization, Aussois-France, 2008, info:cnr-pdr/source/autori:Galluccio, A.; Gentile, C.; Ventura, P./congresso_nome:12th Workshop on Combinatorial Optimization/congresso_luogo:Aussois-France/congresso_data:2008/anno:2008/pagina_da:/pagina_a:/intervallo_pagine, Operations research letters 36 (2008): 419–423. doi:10.1016/j.orl.2008.01.003, info:cnr-pdr/source/autori:Galluccio, A.; Gentile, C.; Ventura, P./titolo:Gear composition and the Stable Set Polytope/doi:10.1016%2Fj.orl.2008.01.003/rivista:Operations research letters/anno:2008/pagina_da:419/pagina_a:423/intervallo_pagine:419–423/volume:36
- Accession number :
- edsair.doi.dedup.....bbecf98069a7d0bcf788992df7539e9b
- Full Text :
- https://doi.org/10.1016/j.orl.2008.01.003