Noureddine Chikh
RECITS Laboratory, Faculty of Mathematics, USTHB, Algiers, Algeria

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Note on chromatic polynomials of the threshold graphs Noureddine Chikh; Miloud Mihoubi
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 7, No 2 (2019): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2019.7.2.2

Abstract

Let G be a threshold graph. In this paper, we give, in first hand, a formula relating the chromatic polynomial of Ḡ (the complement of G) to the chromatic polynomial of G. In second hand, we express the chromatic polynomials of G and Ḡ in terms of the generalized Bell polynomials.