International Journal of Computer Applications |
Foundation of Computer Science (FCS), NY, USA |
Volume 25 - Number 3 |
Year of Publication: 2011 |
Authors: Y.B.Venkatakrishnan, V.Swaminathan |
10.5120/3015-4075 |
Y.B.Venkatakrishnan, V.Swaminathan . Colourings in Bipartite Graphs. International Journal of Computer Applications. 25, 3 ( July 2011), 1-6. DOI=10.5120/3015-4075
The concept of X-chromatic partition and hyper independent chromatic partition of bipartite graphs were introduced by Stephen Hedetniemi and Renu Laskar. We find the bounds for X-chromatic number and hyper independent chromatic number of a bipartite graph. The existence of bipartite graph with χh(G)=a and γY(G)=b-1, χh(G)=a and χX(G)=b where a ≤b are proved. We also prove the existence of bipartite graphs for any three positive integers a, b, c such that c ≥ 2(b-a)+1, there exists a graph G such that χX(G)=a, χXd(G)=b and |Y|=c. The bipartite theory of Dominator colouring is introduced.