Kernels in Weighted Digraphs

Ron Aharoni; Eli Berger; Irina Gorelik

doi:10.1007/s11083-013-9286-4

Kernels in Weighted Digraphs

Ron Aharoni
, Eli Berger
, Irina Gorelik

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A theorem of Sands, Sauer, and Woodrow, extending the Gale-Shapley theorem, states that if G is a digraph whose arc set is the union of the arc sets of two posets, then G has a kernel. We prove a weighted version of this theorem.

Original language	English
Pages (from-to)	35-43
Number of pages	9
Journal	Order
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s11083-013-9286-4
State	Published - Mar 2014

Keywords

Digraph
Kernel
Partial order

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology
Computational Theory and Mathematics

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10.1007/s11083-013-9286-4

Cite this

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title = "Kernels in Weighted Digraphs",

abstract = "A theorem of Sands, Sauer, and Woodrow, extending the Gale-Shapley theorem, states that if G is a digraph whose arc set is the union of the arc sets of two posets, then G has a kernel. We prove a weighted version of this theorem.",

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AU - Berger, Eli

AU - Gorelik, Irina

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AB - A theorem of Sands, Sauer, and Woodrow, extending the Gale-Shapley theorem, states that if G is a digraph whose arc set is the union of the arc sets of two posets, then G has a kernel. We prove a weighted version of this theorem.

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KW - Kernel

KW - Partial order

UR - https://www.scopus.com/pages/publications/84897579173

U2 - 10.1007/s11083-013-9286-4

DO - 10.1007/s11083-013-9286-4

M3 - Article

AN - SCOPUS:84897579173

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VL - 31

SP - 35

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JO - Order

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IS - 1

ER -

Kernels in Weighted Digraphs

Abstract

Keywords

ASJC Scopus subject areas

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