6533b7d5fe1ef96bd1264fc8

RESEARCH PRODUCT

Searching for a strong double tracing in a graph

David Soler FernándezEnrique Benavent López

subject

Statistics and ProbabilityDiscrete mathematicsInformation Systems and ManagementVoltage graphDirected graphManagement Science and Operations ResearchButterfly graphlaw.inventionCombinatoricslawGraph powerModeling and SimulationLine graphString graphDiscrete Mathematics and CombinatoricsNull graphGraph factorizationMathematicsofComputing_DISCRETEMATHEMATICSMathematics

description

Given a connected graph G, we present a polynomial algorithm which either finds a tour traversing each edge of G exactly two non-consecutive times, one in each direction, or decides that no such tour exists. The main idea of this algorithm is based on the modification of a proof given by Thomassen related to a problem proposed by Ore in 1951.

https://doi.org/10.1007/bf02564801