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arXiv · 2001.06752

Quadratic Embedding Constants of Graph Joins

Zhenzhen Lou·Nobuaki Obata·Qiongxiang Huang
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Abstract

The quadratic embedding constant (QE constant) of a graph is a new characteristic value of a graph defined through the distance matrix. We derive formulae for the QE constants of the join of two regular graphs, double graphs and certain lexicographic product graphs. Examples include complete bipartite graphs, wheel graphs, friendship graphs, completely split graph, and some graphs associated to strongly regular graphs.

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Zhenzhen Lou, Nobuaki Obata, Qiongxiang Huang. 2022-09-09. Quadratic Embedding Constants of Graph Joins. https://doi.org/10.1007/s00373-022-02569-w

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