Abstract:Three vertices [Formula: see text] in a graph [Formula: see text] are said to be [Formula: see text]-sequent if [Formula: see text] and [Formula: see text] are adjacent edges in [Formula: see text]. A 3-sequent coloring (3s coloring) is a function [Formula: see text] such that if [Formula: see text] and [Formula: see text] are 3-sequent vertices, then either [Formula: see text] or [Formula: see text] (or both). The [Formula: see text]-sequent achromatic number of a graph [Formula: see text], denoted [Formula: … Show more
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