3 papers
math.CO2024
Positive -expansions for KPKP graphs, twinned lollipops, and kayak paddles
Davion Q. B. Tang, David G. L. Wang
We derive explicit positive -expansions for the chromatic symmetric functions of several graph families. First, we obtain a uniform formula for KPKP graphs that specializes to…
math.CO2024
Chromatic symmetric functions of conjoined graphs
E. Y. J. Qi, D. Q. B. Tang, D. G. L. Wang
We introduce path-conjoined graphs defined for two rooted graphs by joining their roots with a path, and investigate the chromatic symmetric functions of its two generalizations: s…
math.CO2024
The spiders are -positive
Davion Q. B. Tang, David G. L. Wang, Monica M. Y. Wang
By using the composition method, we establish the -positivity of spiders of the form , which was conjectured by Aliniaeifard, van Willigenburg and Wang. Foll…