Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17]
In [Independent transversal domination in graphs, Discuss. Math. Graph Theory 32 (2012) 5–17], Hamid claims that if G is a connected bipartite graph with bipartition {X, Y } such that |X| ≤ |Y| and |X| = γ(G), then γit(G) = γ(G) + 1 if and only if every vertex x in X is adjacent to at least two pend...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2022-05-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.2297 |
| _version_ | 1797713159783448576 |
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| author | Guzman-Garcia Emma Sánchez-López Rocío |
| author_facet | Guzman-Garcia Emma Sánchez-López Rocío |
| author_sort | Guzman-Garcia Emma |
| collection | DOAJ |
| description | In [Independent transversal domination in graphs, Discuss. Math. Graph Theory 32 (2012) 5–17], Hamid claims that if G is a connected bipartite graph with bipartition {X, Y } such that |X| ≤ |Y| and |X| = γ(G), then γit(G) = γ(G) + 1 if and only if every vertex x in X is adjacent to at least two pendant vertices. In this corrigendum, we give a counterexample for the sufficient condition of this sentence and we provide a right characterization. On the other hand, we show an example that disproves a construction which is given in the same paper. |
| first_indexed | 2024-03-12T07:32:36Z |
| format | Article |
| id | doaj.art-977c33dcfb124e2fb98647c9b20f83b1 |
| institution | Directory Open Access Journal |
| issn | 2083-5892 |
| language | English |
| last_indexed | 2024-03-12T07:32:36Z |
| publishDate | 2022-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae Graph Theory |
| spelling | doaj.art-977c33dcfb124e2fb98647c9b20f83b12023-09-02T21:43:05ZengUniversity of Zielona GóraDiscussiones Mathematicae Graph Theory2083-58922022-05-0142260161110.7151/dmgt.2297Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17]Guzman-Garcia Emma0Sánchez-López Rocío1Facultad de Ciencias, Universidad Nacional Autónoma de México, Círcuito Exterior s/n, Coyoacán, Ciudad Universitaria, 04510, Ciudad de México, CDMXFacultad de Ciencias, Universidad Nacional Autónoma de México, Círcuito Exterior s/n, Coyoacán, Ciudad Universitaria, 04510, Ciudad de México, CDMXIn [Independent transversal domination in graphs, Discuss. Math. Graph Theory 32 (2012) 5–17], Hamid claims that if G is a connected bipartite graph with bipartition {X, Y } such that |X| ≤ |Y| and |X| = γ(G), then γit(G) = γ(G) + 1 if and only if every vertex x in X is adjacent to at least two pendant vertices. In this corrigendum, we give a counterexample for the sufficient condition of this sentence and we provide a right characterization. On the other hand, we show an example that disproves a construction which is given in the same paper.https://doi.org/10.7151/dmgt.2297dominationindependenttransversalcoveringmatching05c69 |
| spellingShingle | Guzman-Garcia Emma Sánchez-López Rocío Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17] Discussiones Mathematicae Graph Theory domination independent transversal covering matching 05c69 |
| title | Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17] |
| title_full | Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17] |
| title_fullStr | Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17] |
| title_full_unstemmed | Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17] |
| title_short | Corrigendum to: Independent Transversal Domination in Graphs [Discuss. Math. Graph Theory 32 (2012) 5–17] |
| title_sort | corrigendum to independent transversal domination in graphs discuss math graph theory 32 2012 5 17 |
| topic | domination independent transversal covering matching 05c69 |
| url | https://doi.org/10.7151/dmgt.2297 |
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