Computer Sciences > GATE 2024 SET-1 > Graph Theory
The chromatic number of a graph is the minimum number of colours used in a proper colouring of the graph. Let G be any graph with n vertices and chromatic number k. Which of the following statements is/are always TRUE?
A
G contains a complete subgraph with k vertices
B
G contains an independent set of size at least n/k
C
G contains at least k(k-1)/2 edges
D
G contains a vertex of degree at least k

Correct : a,b

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