Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection
Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
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Elsevier Science BV
2024
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| Acceso en línea: | http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1579 |
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I71-R177-UNGS-15792024-07-23T17:24:17Z Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection Cao, Yixin Grippo, Luciano Norberto Safe, Martín D. Certifying algorithms Linear-time (Proper) Interval graphs Chordal graphs (Minimal) Forbidden Induced Subgraphs Holes (Normal, Helly, proper) Circular-arc Models Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Safe, Martín D. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Cao, Yixin. Hong Kong Polytechnic University. Department of Computing; China. A normal Helly circular-arc graph is the intersection graph of a set of arcs on a circle of which no three or less arcs cover the whole circle. Lin et al. (2013) characterized circular-arc graphs that are not normal Helly circular-arc graphs, and used them to develop the first recognition algorithm for this graph class. As open problems, they ask for the forbidden subgraph characterization and a direct recognition algorithm for normal Helly circular-arc graphs, both of which are resolved by the current paper. Moreover, when the input is not a normal Helly circular-arc graph, our recognition algorithm finds in linear time a minimal forbidden induced subgraph as a certificate. Our approach yields also a considerably simpler algorithm for the certifying recognition of proper Helly circular-arc graphs, a subclass of normal Helly circular-arc graphs. 2024-07-16T17:07:04Z 2024-07-16T17:07:04Z 2017 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Cao, Y., Grippo, L. N. y Safe, M. (2017). Forbidden induced subgraphs of normal Helly circular-arc graphs: characterization and detection. Discrete Applied Mathematics, (216), 67-83 0166-218X http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1579 eng info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier Science BV Discrete Applied Mathematics. 2017; (216): 67-83 |
| institution |
Universidad Nacional de General Sarmiento |
| institution_str |
I-71 |
| repository_str |
R-177 |
| collection |
Repositorio Institucional Digital de Acceso Abierto (UNGS) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Certifying algorithms Linear-time (Proper) Interval graphs Chordal graphs (Minimal) Forbidden Induced Subgraphs Holes (Normal, Helly, proper) Circular-arc Models |
| spellingShingle |
Certifying algorithms Linear-time (Proper) Interval graphs Chordal graphs (Minimal) Forbidden Induced Subgraphs Holes (Normal, Helly, proper) Circular-arc Models Cao, Yixin Grippo, Luciano Norberto Safe, Martín D. Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection |
| topic_facet |
Certifying algorithms Linear-time (Proper) Interval graphs Chordal graphs (Minimal) Forbidden Induced Subgraphs Holes (Normal, Helly, proper) Circular-arc Models |
| description |
Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. |
| format |
Artículo Artículo publishedVersion |
| author |
Cao, Yixin Grippo, Luciano Norberto Safe, Martín D. |
| author_facet |
Cao, Yixin Grippo, Luciano Norberto Safe, Martín D. |
| author_sort |
Cao, Yixin |
| title |
Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection |
| title_short |
Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection |
| title_full |
Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection |
| title_fullStr |
Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection |
| title_full_unstemmed |
Forbidden induced subgraphs of normal Helly circular-arc graphs : characterization and detection |
| title_sort |
forbidden induced subgraphs of normal helly circular-arc graphs : characterization and detection |
| publisher |
Elsevier Science BV |
| publishDate |
2024 |
| url |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1579 |
| work_keys_str_mv |
AT caoyixin forbiddeninducedsubgraphsofnormalhellycirculararcgraphscharacterizationanddetection AT grippolucianonorberto forbiddeninducedsubgraphsofnormalhellycirculararcgraphscharacterizationanddetection AT safemartind forbiddeninducedsubgraphsofnormalhellycirculararcgraphscharacterizationanddetection |
| _version_ |
1817375003804434432 |