3 Search Results for "Batagelj, Vladimir"


Document
Track A: Algorithms, Complexity and Games
Towards an Analysis of Quadratic Probing

Authors: William Kuszmaul and Zoe Xi

Published in: LIPIcs, Volume 297, 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)


Abstract
Since 1968, one of the simplest open questions in the theory of hash tables has been to prove anything nontrivial about the correctness of quadratic probing. We make the first tangible progress towards this goal, showing that there exists a positive-constant load factor at which quadratic probing is a constant-expected-time hash table. Our analysis applies more generally to any fixed-offset open-addressing hash table, and extends to higher load factors in the case where the hash table examines blocks of some size B = ω(1).

Cite as

William Kuszmaul and Zoe Xi. Towards an Analysis of Quadratic Probing. In 51st International Colloquium on Automata, Languages, and Programming (ICALP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 297, pp. 103:1-103:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{kuszmaul_et_al:LIPIcs.ICALP.2024.103,
  author =	{Kuszmaul, William and Xi, Zoe},
  title =	{{Towards an Analysis of Quadratic Probing}},
  booktitle =	{51st International Colloquium on Automata, Languages, and Programming (ICALP 2024)},
  pages =	{103:1--103:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-322-5},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{297},
  editor =	{Bringmann, Karl and Grohe, Martin and Puppis, Gabriele and Svensson, Ola},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2024.103},
  URN =		{urn:nbn:de:0030-drops-202463},
  doi =		{10.4230/LIPIcs.ICALP.2024.103},
  annote =	{Keywords: quadratic probing, hashing, open addressing, witness trees}
}
Document
08391 Group Summary – The Evolution and Dynamics of Research Networks

Authors: Vladimir Batagelj, Bettina Hoser, Claudia Müller, Steffen Staab, and Gerd Stumme

Published in: Dagstuhl Seminar Proceedings, Volume 8391, Social Web Communities (2008)


Abstract
Existing collaboration and innovation in scientific communities can be enhanced by understanding the underlying patterns und hidden relations. Social network analysis is an appropriate method to reveal such patterns. Nevertheless, research in this area is mainly focused on social networks. One promising approach is to use homophily networks as well. Furthermore, extending the static to a dynamic network model enables to understand existing interdependencies in these networks. A mathematical description of possible analyses is given. Finally, resulting research questions are illustrated and the necessity of an interdisciplinary research approach is pointed out.

Cite as

Vladimir Batagelj, Bettina Hoser, Claudia Müller, Steffen Staab, and Gerd Stumme. 08391 Group Summary – The Evolution and Dynamics of Research Networks. In Social Web Communities. Dagstuhl Seminar Proceedings, Volume 8391, pp. 1-8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)


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@InProceedings{batagelj_et_al:DagSemProc.08391.5,
  author =	{Batagelj, Vladimir and Hoser, Bettina and M\"{u}ller, Claudia and Staab, Steffen and Stumme, Gerd},
  title =	{{08391 Group Summary – The Evolution and Dynamics of Research  Networks}},
  booktitle =	{Social Web Communities},
  pages =	{1--8},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8391},
  editor =	{Harith Alani and Steffen Staab and Gerd Stumme},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08391.5},
  URN =		{urn:nbn:de:0030-drops-17906},
  doi =		{10.4230/DagSemProc.08391.5},
  annote =	{Keywords: Homophily networks, social networks, evolution, scientific community}
}
Document
08191 Working Group Report – X-graphs of Y-graphs and their Representations

Authors: Vladimir Batagelj, Franz J. Brandenburg, Walter Didimo, Guiseppe Liotta, and Maurizio Patrignani

Published in: Dagstuhl Seminar Proceedings, Volume 8191, Graph Drawing with Applications to Bioinformatics and Social Sciences (2008)


Abstract
We address graph decomposition problems that help the hybrid visualization of large graphs, where different graphic metaphors (node-link, matrix, etc.) are used in the same picture. We generalize the $X$-graphs of $Y$-graphs model introduced by Brandenburg (Brandenburg, F.J.: Graph clustering I: Cycles of cliques. In Di Battista, G., ed.: Graph Drawing (Proc. GD '97). Volume 1353 of Lecture Notes Comput. Sci., Springer-Verlag (1997) 158--168) to formalize the problem of automatically identifying dense subgraphs ($Y$-graphs, clusters) that are prone to be collapsed and shown with a matricial representation when needed. We show that (planar, $K_5$)-recognition, that is, the problem of identifying $K_5$ subgraphs such that the graph obtained by collapsing them is planar, is NP-hard. On the positive side, we show that it is possible to determine the highest value of $k$ such that $G$ is a (planar,$k$-core)-graph in $O(m + n log(n))$ time.

Cite as

Vladimir Batagelj, Franz J. Brandenburg, Walter Didimo, Guiseppe Liotta, and Maurizio Patrignani. 08191 Working Group Report – X-graphs of Y-graphs and their Representations. In Graph Drawing with Applications to Bioinformatics and Social Sciences. Dagstuhl Seminar Proceedings, Volume 8191, pp. 1-17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)


Copy BibTex To Clipboard

@InProceedings{batagelj_et_al:DagSemProc.08191.5,
  author =	{Batagelj, Vladimir and Brandenburg, Franz J. and Didimo, Walter and Liotta, Guiseppe and Patrignani, Maurizio},
  title =	{{08191 Working Group Report – X-graphs of Y-graphs and their Representations}},
  booktitle =	{Graph Drawing with Applications to Bioinformatics and Social Sciences},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8191},
  editor =	{Stephen P. Borgatti and Stephen Kobourov and Oliver Kohlbacher and Petra Mutzel},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08191.5},
  URN =		{urn:nbn:de:0030-drops-15563},
  doi =		{10.4230/DagSemProc.08191.5},
  annote =	{Keywords: Graph drawing, X-graphs of Y-graphs, visualization of large graphs}
}
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