Moreover, complementary studies have explored intersection graphs arising from convex and x-monotone curves, setting forth polylogarithmic bounds on the chromatic number for Kₖ‐free families [3].

A seminal review of the b-chromatic number and related topics further consolidates these advances, emphasising important theoretical results and their potential computational challenges [3].

Abstract The adjacent vertex-distinguishing total chromatic number of a graph 𝐺, denoted by χ𝑎𝑡 (𝐺), is the smallest denoted by 𝑘 for which 𝐺 has a proper total 𝑘-coloring such that any two ...

By making the first progress on the “chromatic number of the plane” problem in over 60 years, an anti-aging pundit has achieved mathematical immortality.