On the chromatic number of two generalized Kneser graphs

نویسندگان

چکیده

We determine the chromatic number of some graphs flags in buildings type A4, namely Kneser {2,4} vector spaces GF(q)5 for q≥3, and graph {2,3} large q.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Chromatic Number of Generalized Stable Kneser Graphs

For each integer triple (n, k, s) such that k ≥ 2, s ≥ 2, and n ≥ ks, define a graph in the following manner. The vertex set consists of all k-subsets S of Zn such that any two elements in S are on circular distance at least s. Two vertices form an edge if and only if they are disjoint. For the special case s = 2, we get Schrijver’s stable Kneser graph. The general construction is due to Meunie...

متن کامل

The Distinguishing Chromatic Number of Kneser Graphs

A labeling f : V (G) → {1, 2, . . . , d} of the vertex set of a graph G is said to be proper d-distinguishing if it is a proper coloring of G and any nontrivial automorphism of G maps at least one vertex to a vertex with a different label. The distinguishing chromatic number of G, denoted by χD(G), is the minimum d such that G has a proper d-distinguishing labeling. Let χ(G) be the chromatic nu...

متن کامل

Circular chromatic number of Kneser graphs

This paper proves that for any positive integer n, if m is large enough, then the reduced Kneser graph KG2(m, n) has its circular chromatic number equal its chromatic number. This answers a question of Lih and Liu [J. Graph Theory, 2002]. For Kneser graphs, we prove that if m ≥ 2n2(n − 1), then KG(m, n) has its circular chromatic number equal its chromatic number. This provides strong support f...

متن کامل

On the chromatic number of q-Kneser graphs

We show that the q-Kneser graph q K2k:k (the graph on the k-subspaces of a 2k-space over G F(q), where two k-spaces are adjacent when they intersect trivially), has chromatic number qk + qk−1 for k = 3 and for k < q log q − q . We obtain detailed results on maximal cocliques for k = 3.

متن کامل

On the b-chromatic number of Kneser graphs

In this note, we prove that for any integer n ≥ 3 the b-chromatic number of the Kneser graph KG(m,n) is greater than or equal to 2 ( ⌊m 2 ⌋

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2022

ISSN: ['1095-9971', '0195-6698']

DOI: https://doi.org/10.1016/j.ejc.2021.103474