Perfectly nested circuits
Combinatorics
2018-11-08 v1
Abstract
Nested graphs have been used in different applications, for example to represent knowledge in semantic networks. On the other hand, graphs with cycles are really important in surface reconstruction, periodic schedule and network analysis. Also, of particular interest are the cycle basis, which arise in mathematical and algorithm problems. In this work we develop the concept of perfectly nested eulerian circuits, exploring some of their properties. The main result establishes an order isomorphism between some sets of perfectly nested circuits and equivalence classes over finite binary sequences.
Keywords
Cite
@article{arxiv.1811.03044,
title = {Perfectly nested circuits},
author = {María Carrasco and Zenaida Castillo and Nerio Borges and Ramón Pino Pérez},
journal= {arXiv preprint arXiv:1811.03044},
year = {2018}
}