Vol. 10, No. 1, 2021

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This article is available for purchase or by subscription. See below.
New lower bound on the modularity of Johnson graphs

Mikhail Koshelev

Vol. 10 (2021), No. 1, 77–82
Abstract

The modularity of a graph is a value that shows how well the graph can be split into clusters. It is a key part in many clustering algorithms. In this paper, we improve the lower bound on the modularity of Johnson graphs significantly.

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Keywords
modularity, Johnson graphs, clusterization
Mathematical Subject Classification
Primary: 05C99
Milestones
Received: 14 June 2020
Revised: 10 July 2020
Accepted: 27 July 2020
Published: 16 January 2021
Authors
Mikhail Koshelev
Mechanics and Mathematics Faculty
Moscow State University
Moscow
Russia