Toward Wojda's conjecture on digraph packing

Given a positive integer \(m\leq n/2\), Wojda conjectured in 1985 that if \(D_1\) and \(D_2\) are digraphs of order \(n\) such that \(|A(D_1)|\leq n-m\) and \(|A(D_2)|\leq 2n-\lfloor n/m\rfloor-1\) then \(D_1\) and \(D_2\) pack. The cases when \(m=1\) or \(m = n/2\) follow from known results. Here...

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Bibliographic Details
Main Authors: Jerzy Konarski, Andrzej Żak
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2017-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol37/4/art/opuscula_math_3731.pdf