On the r-dynamic coloring of subdivision-edge coronas of a path
This paper deals with the r-dynamic chromatic number of the subdivision-edge corona of a path and exactly one of the following nine types of graphs: a path, a cycle, a wheel, a complete graph, a complete bipartite graph, a star, a double star, a fan graph and a friendship graph.
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| Published in | AIMS mathematics Vol. 5; no. 5; pp. 4546 - 4562 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
AIMS Press
01.01.2020
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2473-6988 2473-6988 |
| DOI | 10.3934/math.2020292 |
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| Abstract | This paper deals with the r-dynamic chromatic number of the subdivision-edge corona of a path and exactly one of the following nine types of graphs: a path, a cycle, a wheel, a complete graph, a complete bipartite graph, a star, a double star, a fan graph and a friendship graph. |
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| AbstractList | This paper deals with the r-dynamic chromatic number of the subdivision-edge corona of a path and exactly one of the following nine types of graphs: a path, a cycle, a wheel, a complete graph, a complete bipartite graph, a star, a double star, a fan graph and a friendship graph. |
| Author | M. Falcón, Raúl Nandini, G. Venkatachalam, M. |
| Author_xml | – sequence: 1 givenname: G. surname: Nandini fullname: Nandini, G. – sequence: 2 givenname: M. surname: Venkatachalam fullname: Venkatachalam, M. – sequence: 3 givenname: Raúl surname: M. Falcón fullname: M. Falcón, Raúl |
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| Cites_doi | 10.1007/s10878-017-0118-0 10.1016/j.disc.2006.03.052 10.1016/j.dam.2016.01.016 10.1016/j.disc.2017.09.025 10.1016/j.dam.2015.07.019 10.1007/s40009-014-0256-1 10.20894/IJCOA.101.003.001.011 10.4067/S0716-09172018000400593 10.22161/ijaers.4.4.13 10.1007/978-3-642-22616-8_13 10.26493/1855-3974.687.99b 10.1016/j.dam.2017.09.013 10.1016/j.dam.2009.05.002 10.1016/j.dam.2010.10.012 10.1007/BF01844162 10.1016/j.dam.2015.01.020 10.1016/j.disc.2019.03.017 |
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| CorporateAuthor | 1 Department of Mathematics. SNS College of Technology, Tamil Nadu, India 3 Department of Applied Mathematics I. Universidad de Sevilla, Spain 2 Department of Mathematics. Kongunadu Arts and Science College, Tamil Nadu, India |
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| References | 22 24 S.-J. Kim, B. Park (32) R. Kang, T. Müller, D. B. West (26) S. Akbari, M. Ghanbari, S. Jahanbekam (30) H. Furmanczyk, M. Kubale (6) K. Kaliraj, R. Sivakami, J. Vernold Vivin (8) S. Loeb, T. Mahoney, B. Reiniger (28) 11 12 H.-J. Lai, X. Lv, M. Xu (33) S. Jahanbekama, J. Kim, O. Suil (25) 35 14 T. Pathinathan, A. A. Mary, D. Bhuvaneswari (18) M. Alishahi (23) 16 17 S. J. Kim, W. J. Park (31) 19 A. I. Kristiana, Dafik, M. I. Utoyo (10) H. Zhu, S. Chen, L. Miao (37) R. Frucht, F. Harary (1) F. A. Muntaner-Batle, J. Vernold Vivin, M. Venkatachalam (15) A. Taherkhani (29) 2 3 4 5 H.-J. Lai, B. Montgomery, Z. Tao (27) 7 9 20 21 |
| References_xml | – ident: 21 article-title: i>On r-dynamic coloring of some graph operation</i – ident: 17 article-title: i>The b-chromatic number of corona graphs</i – ident: 37 article-title: t al. On list r-hued coloring of planar graphs</i publication-title: J. Comb. Optim. doi: 10.1007/s10878-017-0118-0 – ident: 3 article-title: i>The locating-chromatic number for corona product of graphs</i – ident: 11 article-title: i>The lower bound of the r-dynamic chromatic number of corona product by wheel graphs</i – ident: 27 article-title: t al. Conditional colorings of graphs</i publication-title: Discrete Math. doi: 10.1016/j.disc.2006.03.052 – ident: 14 article-title: i>Total coloring of the corona product of two graphs</i – ident: 25 article-title: t al. On r-dynamic coloring of graphs</i publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2016.01.016 – ident: 32 article-title: i>List 3-dynamic coloring of graphs with small maximum average degree</i publication-title: Discrete Math. doi: 10.1016/j.disc.2017.09.025 – ident: 7 article-title: i>On the harmonious coloring of certain class of graphs</i – ident: 29 article-title: i>On r-dynamic chromatic number of graphs</i publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2015.07.019 – ident: 15 article-title: i>Harmonious coloring on corona product of complete graphs</i publication-title: Nat. Acad. Sci. Lett. doi: 10.1007/s40009-014-0256-1 – ident: 18 article-title: i>b-chromatic number of subdivision edge and vertex corona</i publication-title: Int. J. Comput. Algorithm doi: 10.20894/IJCOA.101.003.001.011 – ident: 8 article-title: i>Star edge coloring of corona product of path and wheel graph families</i publication-title: Proyecciones doi: 10.4067/S0716-09172018000400593 – ident: 4 article-title: i>Game chromatic number of Cartesian and corona product graphs</i – ident: 10 article-title: t al. On r-dynamic chromatic number of the corronation of path and several graphs</i publication-title: Int. J. Adv. Eng. Res. Sci. doi: 10.22161/ijaers.4.4.13 – ident: 31 article-title: i>List dynamic coloring of sparse graphs</i publication-title: International Conference on Combinatorial Optimization and Applications doi: 10.1007/978-3-642-22616-8_13 – ident: 2 article-title: i>The generalized characteristic polynomial of the subdivision-vertex and</i> subdivision-edge coronae</i – ident: 6 article-title: i>Equitable coloring of corona products of cubic graphs is harder than ordinary coloring</i publication-title: Ars Math. Contemp. doi: 10.26493/1855-3974.687.99b – ident: 19 article-title: B. Montgomery, Dynamic coloring of graphs, ProQuest LLC, Ann Arbor, – ident: 16 article-title: i>On coloring of corona graphs</i – ident: 35 article-title: t al. On r-hued coloring of K4-minor free graphs</i – ident: 28 article-title: t al. Dynamic coloring parameters for graphs with given genus</i publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2017.09.013 – ident: 30 article-title: i>On the list dynamic coloring of graphs</i publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2009.05.002 – ident: 12 article-title: i>On the r-dynamic chromatic number of the corronation by complete graph</i – ident: 20 article-title: i>Upper bounds of dynamic chromatic number</i – ident: 23 article-title: i>On the dynamic coloring of graphs</i publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2010.10.012 – ident: 1 article-title: i>On the corona of two graphs</i publication-title: Aequationes Math. doi: 10.1007/BF01844162 – ident: 9 article-title: i>Equitable coloring on corona graph of graphs</i – ident: 26 article-title: i>On r-dynamic coloring of grids</i publication-title: Discrete Appl. Math. doi: 10.1016/j.dam.2015.01.020 – ident: 22 article-title: i>On the dynamic chromatic number of Cartesian product graphs</i – ident: 33 article-title: i>On r-hued colorings of graphs without short induced paths</i publication-title: Discrete Math. doi: 10.1016/j.disc.2019.03.017 – ident: 5 article-title: t al. The r-dynamic chromatic number of corona of order two of any graphs with complete graph</i – ident: 24 article-title: t al. Several classes of graphs and their r-dynamic chromatic numbers</i |
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| SubjectTerms | complete bipartite graph complete graph cycle fan graph friendship graph path r-dynamic coloring star graph subdivision-edge corona wheel |
| Title | On the r-dynamic coloring of subdivision-edge coronas of a path |
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