2 papers
math.CO2025
Topology of independence complexes and cycle structure of hypergraphs
Jinha Kim
Recently, Zhang and Wu proved a conjecture of Kalai and Meshulam, showing that for every graph without induced cycles of length divisible by , the sum of all reduced Betti n…
math.CO2025
Domination numbers and homotopy in certain ternary graphs
Taehyun Eom, Jinha Kim, Minki Kim
A ternary graph is a graph with no induced cycles of length modulo . It was recently shown that, if the independence complex of a ternary graph is not contractible, then it…