• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

The Maximum Clique Problem and its Applications

Student: Evgenij Maslov

Supervisor: Mikhail Vladimirovich Batsyn

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Master

Year of Graduation: 2014

<div>We have suggested new algorithm for the maximum clique problem which allows</div><div>to reduce computational time and the number of the search tree size significantly.</div><div>Also, we have demonstrated that the idea used in our algorithm can be successfully</div><div>applied to another algorithms for the maximum clique problem. The best performance in comparison with other algorithms our approach has on large instances</div><div>which are hard to solve.</div><div>We use our algorithm to solve &rdquo;The Protein Structure Alignment Problem&rdquo;.</div><div>Our results are at least comparable with the performance of the ACF algorithm</div><div>and better than MCS, MAX-SAT and BBMCXRS. Moreover, our algorithm is able</div><div>(in contrast to BBMCXRS and MAX-SAT algorithms) to solve larges instances</div><div>with not high density and large number of vertices.</div>

Student Theses at HSE must be completed in accordance with the University Rules and regulations specified by each educational programme.

Summaries of all theses must be published and made freely available on the HSE website.

The full text of a thesis can be published in open access on the HSE website only if the authoring student (copyright holder) agrees, or, if the thesis was written by a team of students, if all the co-authors (copyright holders) agree. After a thesis is published on the HSE website, it obtains the status of an online publication.

Student theses are objects of copyright and their use is subject to limitations in accordance with the Russian Federation’s law on intellectual property.

In the event that a thesis is quoted or otherwise used, reference to the author’s name and the source of quotation is required.

Search all student theses