Lower bounds for the game colouring number of partial k-trees and planar graphs

This paper discusses the game colouring number of partial k-trees and planar graphs. Let col"g(PT"k) and col"g(P) denote the maximum game colouring number of partial k trees and the maximum game colouring number of planar graphs, respectively. In this paper, we prove that col"g(PT"k)=3k+2 and col"g(P)>=11. We also prove that the game colouring number col"g(G) of a graph is a monotone parameter, i.e., if H is a subgraph of G, then col"g(H)=

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