An Euler-genus approach to the calculation of the crosscap-number polynomial

Author:

Chen Yichao1ORCID,Gross Jonathan L.2

Affiliation:

1. Department of Mathematics; Hunan University; 410082 Changsha China

2. Department of Computer Science; Columbia University; New York NY 10027

Funder

Simons Foundation

National Natural Science Foundation of China

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference47 articles.

1. The imbedding of graphs in manifolds;Auslander;J. Math. Mech.,1963

2. J. Chen The distribution of graph imbeddings on topological surfaces 1990

3. Overlap matrices and total imbedding distributions;Chen;Discrete Math.,1994

4. Y. Chen Embedding distributions of the ring-like families of graphs

5. Y. Chen J. L. Gross Genus polynomials of ring-like graphs with spiders

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1. Limits for embedding distributions;Advances in Applied Mathematics;2021-06

2. Euler-Genus Distributions of Cubic Caterpillar-Halin Graphs;Bulletin of the Malaysian Mathematical Sciences Society;2021-02-03

3. Limit for the Euler-genus distributions of ladder-like sequences of graphs;Journal of Algebraic Combinatorics;2021-01-27

4. Genus polynomials and crosscap‐number polynomials for ring‐like graphs;Mathematische Nachrichten;2018-11-12

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