Abstract
Graph stabilization has raised a family of network design problems that has received considerable attention recently. Stable graphs are those graphs forwhich the matching game has non-empty core. In the optimization terminology, they are graphs for which the fractional matching linear program has an integral optimum solution. Graph stabilization involves minimally modifying a given graph to make it stable. In this survey, we outline recent developments in graph stabilization and highlight some open problems.
Original language | English (US) |
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Title of host publication | Combinatorial Optimization and Graph Algorithms |
Subtitle of host publication | Communications of NII Shonan Meetings |
Publisher | Springer |
Pages | 21-41 |
Number of pages | 21 |
ISBN (Electronic) | 9789811061479 |
ISBN (Print) | 9789811061462 |
DOIs | |
State | Published - Oct 2 2017 |
ASJC Scopus subject areas
- General Computer Science
- General Economics, Econometrics and Finance
- General Business, Management and Accounting
- General Mathematics