Samantha Dahlberg

activity

20142024

P_{d, 2}

are

e

-positive

12 citations · 15 across the 8 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CO2017★ 1 cited

Permutation Statistics and Pattern Avoidance in Involutions

Samantha Dahlberg

Dokos et. al. studied the distribution of two statistics over permutations $S_{n}$ of ${1, 2, \dots, n}$ that avoid one or more length three patterns. A permutation $σ\in\…

math.CO2017

Resolving Stanley's $e$ -positivity of claw-contractible-free graphs

Samantha Dahlberg, Angele Foley, Stephanie van Willigenburg

In Stanley's seminal 1995 paper on the chromatic symmetric function, he stated that there was no known graph that was not contractible to the claw and whose chromatic symmetric fun…

math.CO2017

Lollipop and lariat symmetric functions

Samantha Dahlberg, Stephanie van Willigenburg

We compute an explicit $e$ -positive formula for the chromatic symmetric function of a lollipop graph, $L_{m, n}$ . From here we deduce that there exist countably infinite distinct $e…

Permutation Statistics and Pattern Avoidance in Involutions

Resolving Stanley's e-positivity of claw-contractible-free graphs

Lollipop and lariat symmetric functions

Resolving Stanley's $e$ -positivity of claw-contractible-free graphs