X− Dominating colour transversals in graphs
Autor: | Venkatakrishnan Balasubramanian Yanamandram, C. Natarajan, S. K. Ayyaswamy |
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Jazyk: | English<br />Portuguese |
Rok vydání: | 2016 |
Předmět: | |
Zdroj: | Boletim da Sociedade Paranaense de Matemática, Vol 34, Iss 2, Pp 99-105 (2016) |
Druh dokumentu: | article |
ISSN: | 0037-8712 2175-1188 |
DOI: | 10.5269/bspm.v34i2.22997 |
Popis: | Let G = (X, Y,E) be a bipartite graph. A X-dominating set D ⊆ X is called a X−dominating colour transversal set of a graph G if D is a transversal of at least one $chi$−partition of G.The minimum cardinal- ity of a X−dominating colour transversal set is called X−dominating colour transversal number and is denoted by $chi_{dct}(G)$. We find the bounds of X−dominating colour transversal number and characterize the graphs attaining the bound. |
Databáze: | Directory of Open Access Journals |
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