Classification of partially metric Q-polynomial association schemes with $m_1 = 4$

Da Zhao

Classification of partially metric Q-polynomial association schemes with $m_1 = 4$

Combinatorics 2020-09-28 v1

Authors: Da Zhao

Abstract

We classify the Q-polynomial association schemes with $m_{1} = 4$ which are partially metric with respect to the nearest neighbourhood relation. An association scheme is partially metric with respect to a relation $R_1$ if the scheme graph of $R_2$ is exactly the distance-2 graph of the scheme graph of $R_1$ under a certain ordering of the relations.

Keywords

Q-polynomial association schemes partially metric nearest neighbourhood relation distance-2 graph classification m1=4

Cite

@article{arxiv.2009.12300,
  title  = {Classification of partially metric Q-polynomial association schemes with $m_1 = 4$},
  author = {Da Zhao},
  journal= {arXiv preprint arXiv:2009.12300},
  year   = {2020}
}

Comments

14 pages, 1 figure

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