On chromatic polynomials of regular graphs and modified wheels

• Main Author: Aves, Lovelina A.
• Format: text
• Language: English
• Published: Animo Repository 1994
• Subjects: Polynomials; Analytic functions; Graph theory; Mathematics > Formulae; Groups, Theory of; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_masteral/1550; https://animorepository.dlsu.edu.ph/context/etd_masteral/article/8388/viewcontent/TG02237_F_Redacted.pdf
• Institution: De La Salle University

Let P(G,y) denote the chromatic polynomial of a graph G expressed in the variable y. A graph G is chromatically unique if P(G,y) = P(H,y) implies that H is isomorphic to G. It is proven that complements of partial matching forest are chromatically unique. An infinite family of counterexamples to the...