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arXiv · 1901.00998

Orthogonal graphs modulo power of 2

Songpon Sriwongsa
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Abstract

In this work, we define an orthogonal graph on the set of equivalence classes of $(2ν+ δ)-$tuples over $\mathbb{Z}_{2^n}$ where $n$ and $ν$ are positive integers and $δ= 0, 1$ or $2$. We classify our graph if it is strongly regular or quasi-strongly regular and compute all parameters precisely. We show that our graph is arc transitive. The automorphisms group is given and the chromatic number of the graph except when $δ= 0$ and $ν$ is odd is determined. Moreover, we work on subconstituents of this orthogonal graph.

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Songpon Sriwongsa. 2019-01-04. Orthogonal graphs modulo power of 2. https://arxiv.org/abs/1901.00998

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