Open AccessLetter to the Editor—Remarks on Network Simplification
Author(s) -
Arthur M. Hobbs
Publication year - 1967
Publication title -
operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.797
H-Index - 140
eISSN - 1526-5463
pISSN - 0030-364X
DOI - 10.1287/opre.15.3.548
Subject(s) - counterexample , mathematics , vertex (graph theory) , calculus (dental) , mathematical economics , computer science , discrete mathematics , graph , medicine , dentistry
In “The Use of Wye-Delta Transformations in Network Simplification,” Sheldon B. Akers, Jr. stated two conditions that together were supposedly sufficient for the validity of delta-wye transformations on networks with finite vertex capacities. This letter gives a counterexample to the sufficiency of the two conditions and demonstrates the necessity of the first condition to delta-wye transformations.
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