Lattice complete graphs


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Abstract

We study the properties of graphs that can be placed in a rectangular lattice so that all vertices located in the same (horizontal or vertical) row be adjacent. Some criterion is formulated for an arbitrary graph to be in the specified class.

About the authors

Yu. E. Bessonov

All-Russian Institute of Scientific and Technical Information

Author for correspondence.
Email: bessonov-ye@rambler.ru
Russian Federation, ul. Usievicha 20, Moscow, 125190

A. A. Dobrynin

Sobolev Institute of Mathematics

Email: bessonov-ye@rambler.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090

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