Let o(H) be the order of the smallest colour class in any proper x(H)-colouring of H. Prove that ifG|2o(H) for a graph G, thenr(G, H) ≥ (G|-1)(x(H)-1)+(H).

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Answered: Let o(H) be the order of the smallest…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 24E: Find two groups of order 6 that are not isomorphic.

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Let o(H) be the order of the smallest colour class in any proper x(H)-colouring of H. Pro G20(H) for a graph G, then r(G, H) 2 (G|-1)(x(H)-1)+o(H).