A generalization of the Erdös-Ko-Rado theorem |
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| Authors: | Meysam Alishahi Ali Taherkhani |
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| Institution: | Department of Mathematical Sciences, Shahid Beheshti University, G.C., P.O. Box 1983963113, Tehran, Iran |
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| Abstract: | In this note, we investigate some properties of local Kneser graphs defined in János Körner, Concetta Pilotto, Gábor Simonyi, Local chromatic number and sperner capacity, J. Combin. Theory Ser. B 95 (1) (2005) 101-117]. In this regard, as a generalization of the Erdös-Ko-Rado theorem, we characterize the maximum independent sets of local Kneser graphs. Next, we provide an upper bound for their chromatic number. |
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| Keywords: | Erdö s-Ko-Rado theorem Graph homomorphism Local chromatic number |
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