X− Dominating colour transversals in graphs

Autor: Venkatakrishnan Balasubramanian Yanamandram, C. Natarajan, S. K. Ayyaswamy
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.
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