Premium
A counterexample to a conjecture on paths of bounded length
Author(s) -
Boyles Stephanie M.,
Exoo Geoffrey
Publication year - 1982
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190060215
Subject(s) - counterexample , conjecture , bounded function , mathematics , combinatorics , discrete mathematics , mathematical analysis
In a recent paper Lovász, Neumann‐Lara, and Plummer studied Mengerian theorems for paths of bounded length. Their study led to a conjecture concerning the extent to which Menger's theorem can fail when restricted to paths of bounded length. In this paper we offer counterexamples to this conjecture.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom