Regular and Vertex-Transitive Kähler Graphs Having Commutative Principal and Auxiliary Adjacency Operators

Author:

Adachi Toshiaki,Chen Guanyuan

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference15 articles.

1. Adachi, T.: Kähler magnetic flows for a manifold of constant holomorphic sectional curvature. Tokyo Math. J. 18, 473–483 (1995)

2. Adachi, T.: Magnetic mean operators on a Kähler manifold. In: Matsushita, Y., Rio, E.G., Hashimoto, H., Koda, T., Oguro, T. (eds.) Topics in Almost Hermitian Geometry and Related Fields, pp. 30–40. World Scientific, Singapore (2005)

3. Adachi, T.: A discrete model for Kähler magnetic fields on a complex hyperbolic space. In: Sekigawa, K., Gerdjikov, V.S., Dimiev, S. (eds.) Trends in Differential Geometry, Complex Analysis and Mathematical Physics, pp. 1–9. World Scientific, Singapore (2009)

4. Adachi, T.: Laplacians for finite regular Kähler graphs and for their dual graphs. In: Adachi, T., Hashimoto, H., Hristov, M. (eds.) Current Development in Differential Geometry and its Related Fields, pp. 23–44. World Scientific, Singapole (2016)

5. Alspach, B., Parsons, T.D.: A construction for vertex-transitive graphs. Can. J. Math. 44, 307–318 (1982)

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