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Approximation of Max-Cut on Graphs of Bounded Degree
KTH, School of Computer Science and Communication (CSC).
2016 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Approximation av Max-Cut i grafer med begränsat gradtal (Swedish)
Abstract [en]

The Max-Cut problem is a well-known NP-hard problem, for which numerous approximation algorithms have been developed over the years. In this thesis, we examine the special case where the degree of vertices in the graph is bounded. With minor modifications to existing algorithms, we are able to obtain an improved approximation ratio for general bounded-degree graphs. Furthermore we show additional improvements for graphs with at least a constant fraction of odd-degree vertices. We also identify some other possible areas for improvement in the general bounded-degree case.

Abstract [sv]

Max-Cut-problemet är ett välkänt NP-svårt problem, för vilket ett flertal olika approximationsalgoritmer har utvecklats över åren. I det här arbetet undersöks specialfallet då grafens noder har begränsat gradtal. Med mindre förändringar av existerande algoritmer lyckas vi uppnå en förbättrad approximationskvot för generella gradtals-begränsade grafer. Vi visar också ytterligare förbättringar för grafer med minst en konstant andel noder med udda gradtal. Vi identifierar också några andra möjliga områden för förbättring i det allmänna gradtals-begränsade fallet.

Place, publisher, year, edition, pages
Keyword [en]
Theoretical Computer Science, Graphs, Algorithms, Max Cut, Approximation
Keyword [sv]
Teoretisk Datalogi, Grafer, Algoritmer, Max Cut, Approximation
National Category
Computer Science
URN: urn:nbn:se:kth:diva-189143OAI: diva2:945792
Educational program
Master of Science in Engineering - Computer Science and Technology
Available from: 2016-07-04 Created: 2016-06-27 Last updated: 2016-07-04Bibliographically approved

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