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Type Graphs and Small-Set Expansion
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Type Graphs and Small-Set Expansion

Abstract

In this paper, we study the type graph, namely a bipartite graph induced by a joint type. We study the maximum edge density of induced bipartite subgraphs of this graph having a number of vertices on each side on an exponential scale. This can be seen as an isoperimetric problem. We provide asymptotically sharp bounds for the exponent of the maximum edge density as the blocklength goes to infinity. We also study the biclique rate region of the …

Authors

Yu L; Anantharam V; Chen J

Volume

00

Pagination

pp. 993-998

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Publication Date

July 20, 2021

DOI

10.1109/isit45174.2021.9517992

Name of conference

2021 IEEE International Symposium on Information Theory (ISIT)