On the achromatic number of the Cartesian product of two complete graphs

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چکیده

A vertex colouring f: V(G) → C of a graph G is complete if for any c1, c2 ∈ with c1 ≠ there are in adjacent vertices v1, v2 such that f(v1) = and f(v2) c2. The achromatic number the maximum achr(G) colours proper G. Let G1▫G2 denote Cartesian product graphs G1 G2. In paper achr(Kr2 + r 1▫Kq) determined an infinite q’s provided finite projective plane order.

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ژورنال

عنوان ژورنال: The art of discrete and applied mathematics

سال: 2023

ISSN: ['2590-9770']

DOI: https://doi.org/10.26493/2590-9770.1555.9a6