English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Motivated by Stanley's conjecture about the $e$-positivity of claw-freeincomparability graphs, Hamel and her collaborators studied the $e$-positivityof $(claw, H)$-free graphs, where $H$ is a four-vertex graph. In this paper weestablish the $e$-positivity of generalized pyramid graphs and $2K_2$-free unitinterval graphs, which are two important families of $(claw, 2K_2)$-freegraphs. Hence we affirmatively solve one problem proposed by Hamel, Ho\`{a}ngand Tuero, and another problem considered by Foley, Ho\`{a}ng and Merkel.

The $e$-positivity of two families of $(claw, 2K_2)$-free graphs