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math.CO2018
Spiders and their Kin: An Investigation of Stanley's Chromatic Symmetric Function for Spiders and Related Graphs
Angèle M. Foley, Joshua Kazdan, Larissa Kröll +3
We study the chromatic symmetric functions of graph classes related to spiders, namely generalized spider graphs (line graphs of spiders), and what we call horseshoe crab graphs. W…
math.CO2018
Classes of graphs with e-positive chromatic symmetric function
Angèle M. Foley, Chính T. Hoàng, Owen D. Merkel
In the mid-1990s, Stanley and Stembridge conjectured that the chromatic symmetric functions of claw-free co-comparability (also called incomparability) graphs were e-positive. The…