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• W3091567360 abstract "In the vector space of symmetric functions, the elements of the basis of elementary symmetric functions are (up to a factor) the chromatic symmetric functions of disjoint unions of cliques. We consider their graph complements, the functions ${r_{lambda}: lambda text{ an integer partition}}$ defined as chromatic symmetric functions of complete multipartite graphs. This basis was first introduced by Penaguiao [21]. We provide a combinatorial interpretation for the coefficients of the change-of-basis formula between the $r_{lambda}$ and the monomial symmetric functions, and we show that the coefficients of the chromatic and Tutte symmetric functions of a graph $G$ when expanded in the $r$-basis enumerate certain intersections of partitions of $V(G)$ into stable sets." @default.
• W3091567360 created "2020-10-08" @default.
• W3091567360 creator A5003940613 @default.
• W3091567360 creator A5069077074 @default.
• W3091567360 date "2020-09-29" @default.
• W3091567360 modified "2023-09-27" @default.
• W3091567360 title "A complete multipartite basis for the chromatic symmetric function" @default.
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