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October 2016 A Note on Vertex-transitive K\"ahler graphs
Yaermaimaiti TUERXUNMAIMAITI, Toshiaki ADACHI
Hokkaido Math. J. 45(3): 419-433 (October 2016). DOI: 10.14492/hokmj/1478487618

Abstract

In this paper we construct finite vertex-transitive K\"ahler graphs, which may be considered as discrete models of Hermitian symmetric spaces admitting K\"ahler magnetic fields. We give a condition on cardinality of the set of vertices and the principal and the auxiliary degrees for a vertex-transitive K\"ahler graphs. Also we give some examples of K\"ahler graphs corresponding typical vertex-transitive ordinary graphs.

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Yaermaimaiti TUERXUNMAIMAITI. Toshiaki ADACHI. "A Note on Vertex-transitive K\"ahler graphs." Hokkaido Math. J. 45 (3) 419 - 433, October 2016. https://doi.org/10.14492/hokmj/1478487618

Information

Published: October 2016
First available in Project Euclid: 7 November 2016

zbMATH: 1350.05021
MathSciNet: MR3568636
Digital Object Identifier: 10.14492/hokmj/1478487618

Subjects:
Primary: 05C50
Secondary: 53C55

Rights: Copyright © 2016 Hokkaido University, Department of Mathematics

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Vol.45 • No. 3 • October 2016
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