Linking systems and matroid pencils

Linking systems and matroid pencils

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Article ID: iaor20084092
Country: Japan
Volume: 50
Issue: 4
Start Page Number: 315
End Page Number: 324
Publication Date: Dec 2007
Journal: Journal of the Operations Research Society of Japan
Authors:
Keywords: programming: assignment
Abstract:

A matroid pencil is a pair of linking systems having the same ground sets in common. It provides a combinatorial abstraction of matrix pencils. This paper investigates the properties of matroid pencils analogous to the theory of Kronecker canonical form. As an application, we give a simple alternative proof for a theorem of Murota on power products of linking systems.

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