D. Wang

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math.CO2025

The spiders $S (4 m + 2, 2 m, 1)$ are $e$ -positive

Davion Q. B. Tang, David G. L. Wang, Monica M. Y. Wang

By using the composition method, we establish the $e$ -positivity of spiders of the form $S (4 m + 2, 2 m, 1)$ , which was conjectured by Aliniaeifard, van Willigenburg and Wang. Foll…

math.CO2024

A composition method for neat formulas of chromatic symmetric functions

David G. L. Wang, James Z. F. Zhou

We develop a composition method to unearth positive $e_{I}$ -expansions of chromatic symmetric functions $X_{G}$ , where the subscript $I$ stands for compositions rather than integer par…

math.CO2024

Positive $e_{I}$ -expansions for KPKP graphs, twinned lollipops, and kayak paddles

Davion Q. B. Tang, David G. L. Wang

We derive explicit positive $e_{I}$ -expansions for the chromatic symmetric functions of several graph families. First, we obtain a uniform formula for KPKP graphs that specializes to…

The spiders S(4m+2,2m,1) are e-positive

A composition method for neat formulas of chromatic symmetric functions

Positive eI​-expansions for KPKP graphs, twinned lollipops, and kayak paddles

The spiders $S (4 m + 2, 2 m, 1)$ are $e$ -positive

Positive $e_{I}$ -expansions for KPKP graphs, twinned lollipops, and kayak paddles