A Boolean algebra approach to the construction of snarks

This work deals with the construction of snarks, that is, cubic graphs that cannot be 3-edge-colored. A natural generalization of the concept of "color", that describes in a simple way the coloring ("0" or "1") of any set of (semi)edges, is introduced. This approach all...

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Detalles Bibliográficos
Autor: Fiol Mora, Miquel Àngel|||0000-0003-1337-4952
Tipo de recurso: capítulo de libro
Fecha de publicación:1991
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/2111
Acceso en línea:https://hdl.handle.net/2117/2111
Access Level:acceso abierto
Palabra clave:Graph theory
Edge-coloring
Snark
Boolean algebra
Grafs, Teoria de
Classificació AMS::05 Combinatorics::05C Graph theory
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spelling A Boolean algebra approach to the construction of snarksFiol Mora, Miquel Àngel|||0000-0003-1337-4952Graph theoryEdge-coloringSnarkBoolean algebraGrafs, Teoria deClassificació AMS::05 Combinatorics::05C Graph theoryThis work deals with the construction of snarks, that is, cubic graphs that cannot be 3-edge-colored. A natural generalization of the concept of "color", that describes in a simple way the coloring ("0" or "1") of any set of (semi)edges, is introduced. This approach allows us to apply the Boolean logic theory to find an ample family of snarks, which includes many of the previous known constructions and also some interesting ones.Peer ReviewedJohn Wiley & Sons19911991-01-0120082008-06-25book parthttp://purl.org/coar/resource_type/c_3248NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/bookPartapplication/pdfhttps://hdl.handle.net/2117/2111reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/21112026-05-27T15:37:01Z
dc.title.none.fl_str_mv A Boolean algebra approach to the construction of snarks
title A Boolean algebra approach to the construction of snarks
spellingShingle A Boolean algebra approach to the construction of snarks
Fiol Mora, Miquel Àngel|||0000-0003-1337-4952
Graph theory
Edge-coloring
Snark
Boolean algebra
Grafs, Teoria de
Classificació AMS::05 Combinatorics::05C Graph theory
title_short A Boolean algebra approach to the construction of snarks
title_full A Boolean algebra approach to the construction of snarks
title_fullStr A Boolean algebra approach to the construction of snarks
title_full_unstemmed A Boolean algebra approach to the construction of snarks
title_sort A Boolean algebra approach to the construction of snarks
dc.creator.none.fl_str_mv Fiol Mora, Miquel Àngel|||0000-0003-1337-4952
author Fiol Mora, Miquel Àngel|||0000-0003-1337-4952
author_facet Fiol Mora, Miquel Àngel|||0000-0003-1337-4952
author_role author
dc.subject.none.fl_str_mv Graph theory
Edge-coloring
Snark
Boolean algebra
Grafs, Teoria de
Classificació AMS::05 Combinatorics::05C Graph theory
topic Graph theory
Edge-coloring
Snark
Boolean algebra
Grafs, Teoria de
Classificació AMS::05 Combinatorics::05C Graph theory
description This work deals with the construction of snarks, that is, cubic graphs that cannot be 3-edge-colored. A natural generalization of the concept of "color", that describes in a simple way the coloring ("0" or "1") of any set of (semi)edges, is introduced. This approach allows us to apply the Boolean logic theory to find an ample family of snarks, which includes many of the previous known constructions and also some interesting ones.
publishDate 1991
dc.date.none.fl_str_mv 1991
1991-01-01
2008
2008-06-25
dc.type.none.fl_str_mv book part
http://purl.org/coar/resource_type/c_3248
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/2111
url https://hdl.handle.net/2117/2111
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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