Title
Min algebraic duality
Abstract
Min algebra has been used (Cuninghame-Greem [2], Hoffman [3]) to obtain results in operations research and graph theory. It has previously been seen primarily as an efficient way to describe a system of minimum relations. In this note we develop an elimination scheme for inductively solving systems of min algebraic equations and then prove a theorem of the alternative which is closely related to one of the duality models described in [3]. This work was developed in relation to tag systems [1]. These results provide a first step toward broadening min algebra from a modeling scheme to a solution technique.
Year
DOI
Venue
1987
10.1016/0166-218X(87)90057-6
Discrete Applied Mathematics
Keywords
Field
DocType
min algebraic duality
Graph theory,Discrete mathematics,Combinatorics,Algebraic number,Algebraic equation,Duality (optimization),Mathematics
Journal
Volume
Issue
ISSN
16
1
Discrete Applied Mathematics
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
D. Crystal Llewellyn100.34