We consider a class of hypergraphs called hypercycles and we show that a hypercycle $C_n^{d,alpha}$ is shellable or sequentially the Cohen--Macaulay if and only if $nin{3,5}$. Also, we characterize Cohen--Macaulay hypercycles. These results are hypergraph versions of results proved for cycles in graphs.

A key element of cultures of honor is that men in these cultures are prepared to protect with violence the reputation for strength and toughness. Such cultures are likely to develop where (1) a man’s resources can be thieved in full by other men and (2) the governing body is weak and thus cannot prevent or punish theft. Historically a herding culture operating outside of formal government, the ...

Commonplace among deliberative theorists is the view that, when defending preferred laws and policies, citizens should appeal only to reasons they expect others reasonably to accept. This view has been challenged on the grounds that it places an undue burden on religious citizens who feel duty-bound to appeal to religious reasons to justify preferred positions. In response, I develop a concepti...

This study of English as a second language (ESL) reading textbooks investigates cohesion in reading passages from 27 textbooks. The guiding research questions were whether and how cohesion differs across textbooks written for beginning, intermediate, and advanced second language readers. Using a computational tool called Coh-Metrix, textual features were compared across the three levels using M...