Journal of the Mathematical Society of Japan

Pseudograph and its associated real toric manifold

Suyoung CHOI, Boram PARK, and Seonjeong PARK

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Given a simple graph $G$, the graph associahedron $P_G$ is a convex polytope whose facets correspond to the connected induced subgraphs of $G$. Graph associahedra have been studied widely and are found in a broad range of subjects. Recently, S. Choi and H. Park computed the rational Betti numbers of the real toric variety corresponding to a graph associahedron under the canonical Delzant realization. In this paper, we focus on a pseudograph associahedron which was introduced by Carr, Devadoss and Forcey, and then discuss how to compute the Poincaré polynomial of the real toric variety corresponding to a pseudograph associahedron under the canonical Delzant realization.

Article information

J. Math. Soc. Japan Volume 69, Number 2 (2017), 693-714.

First available in Project Euclid: 20 April 2017

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Digital Object Identifier

Primary: 55U10: Simplicial sets and complexes
Secondary: 57N65: Algebraic topology of manifolds 05C30: Enumeration in graph theory

pseudograph associahedron real toric variety


CHOI, Suyoung; PARK, Boram; PARK, Seonjeong. Pseudograph and its associated real toric manifold. J. Math. Soc. Japan 69 (2017), no. 2, 693--714. doi:10.2969/jmsj/06920693.

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