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July 24, 2026
'Physics Is What the World Is Literally Built On'
Physicist Nina Dzhanayeva, recipient of a Vladimir Potanin Foundation scholarship, focuses her research on nanophotonics. In this interview for the HSE Young Scientists project, she discusses nanowells, scientific intuition, and how physics can help in making frangipane cream puffs.
July 20, 2026
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‘Science Is Universal-It Knows No Borders
Fuad Aleskerov, Tenured Professor and Director of the International Centre of Decision Choice and Analysis at HSE University, together with his colleagues, has developed methods of network analysis in bibliometrics that have made it possible to identify patterns in the appearance and citation of publications in academic journals, as well as their influence on each other. When one or a number of studies are frequently cited by a wide range of journals, this is an indicator that the research is of high quality. By contrast, extensive cross-citation within a limited group of journals increases the likelihood of identifying a network of predatory publications.

 

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Optimization Problems in Graph Theory

Book 139. Springer, 2018.
Under the general editorship: B. Goldengorin

This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin’s fundamental contributions to advanced methods and techniques in combinatorial optimization. 

Researchers, students, and engineers in computer science, big data, applied mathematics, operations research, algorithm design, artificial intelligence, software engineering, data analysis, industrial and systems engineering will benefit from the state-of-the-art results presented in modern graph theory and its applications to the design of efficient algorithms for optimization problems. 

Topics covered in this work include:

·         Algorithmic aspects of problems with disjoint cycles in graphs

·         Graphs where maximal cliques and stable sets intersect

·         The maximum independent set problem with special classes

·         A general technique for heuristic algorithms for optimization problems

·         The network design problem with cut constraints

·         Algorithms for computing the frustration index of a signed graph

·         A heuristic approach for studying the patrol problem on a graph

·         Minimum possible sum and product of the proper connection number

·         Structural and algorithmic results on branchings in digraphs

·         Improved upper bounds for Korkel--Ghosh benchmark SPLP instances

Chapters
On graphs whose maximal cliques and stable sets intersect
Gurvich V., Andrade D. V., Boros E., , in: Optimization Problems in Graph TheoryBook 139.: Springer, 2018. P. 3–63.
We say that a graph G has the CIS-property and call it a CIS-graph if every maximal clique and every maximal stable set of G intersects. By definition, G is a CIS-graph if and only if the complementary graph \(\overline {G}\) is a CIS-graph. Let us substitute a vertex v of a graph G′ by a graph G″ and denote the obtained graph by G. It is also easy to ...
Added: October 10, 2018
Priority areas: mathematics
Language: English
DOI
Text on another site
Keywords: combinatorial optimizationapproximation algorithmsdirected graphsheuristic methodsdecision making problemstraveling salesman problemtransportation industriesdata Analyticsomputational complexity analysisgraph optimizationnetwork design problemdisjoint cycles in graphs
Optimization Problems in Graph Theory
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