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This article is available for purchase or by subscription. See below.
Abstract
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Modularity is designed to measure the strength of a division of a network into clusters. For
, consider
a set
of
elements. Let
be the set of all
subsets of
of
size
. Consider
the graph
with vertices
and edges that connect two vertices if and only if their intersection has size
. In this article, we find
the exact modularity of
for
.
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Keywords
modularity, line graphs, Johnson graphs
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Mathematical Subject Classification
Primary: 05C76
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Milestones
Received: 14 May 2020
Revised: 12 July 2020
Accepted: 27 July 2020
Published: 16 January 2021
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