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For questions relating to the Kneser Graphs, $KG_{n,k}$

3 votes
0 answers
208 views

Clique cover number of a generalized Kneser graph $K(n,4,2)$

Recently I attacked this combinatorial question. The value of $m(n)$ introduced in it equals to a clique cover number of a generalized Kneser graph $KG_{n,4,1}=K(n,4,2)$ (or the chromatic number of it …
Alex Ravsky's user avatar
  • 5,409
4 votes
Accepted

Independent sets in complement of Kneser graphs

According to [p. 8], Baranyai's theorem [B] implies that the vertex set of the Kneser graph $K(n,k)$ can be partitioned into $\left\lceil\frac{\binom{n}{k}}{\left\lfloor\frac{n}{k}\right\rfloor}\righ …
Alex Ravsky's user avatar
  • 5,409