Yuta Nozaki

most citedHomotopy types of Hom complexes of graph homomorphisms whose codomains are cycles

3 citations · 5 across the 5 of their papers we have counts for

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math.CO2025

Colouring normal quadrangulations of projective spaces

Tomáš Kaiser, On-Hei Solomon Lo, Atsuhiro Nakamoto +2

Youngs proved that every non-bipartite quadrangulation of the projective plane $R P^{2}$ is 4-chromatic. Kaiser and Stehl\'ık [J. Combin. Theory Ser. B 113 (2015), 1…

math.CO2024★ 2 cited

Homotopy types of Hom complexes of graph homomorphisms whose codomains are square-free

Soichiro Fujii, Kei Kimura, Yuta Nozaki

Given finite simple graphs $G$ and $H$ , the Hom complex $Hom (G, H)$ is a polyhedral complex having the graph homomorphisms $G \to H$ as the vertices. We determine the homoto…

math.CO2024★ 3 cited

Homotopy types of Hom complexes of graph homomorphisms whose codomains are cycles

Soichiro Fujii, Yuni Iwamasa, Kei Kimura +2

For simple graphs $G$ and $H$ , the Hom complex $Hom (G, H)$ is a polyhedral complex whose vertices are the graph homomorphisms $G \to H$ and whose edges connect the pairs of…