Graph-Theoretic Concepts in Computer Science: 39th - download pdf or read online

By Feodor F. Dragan (auth.), Andreas Brandstädt, Klaus Jansen, Rüdiger Reischuk (eds.)

ISBN-10: 3642450423

ISBN-13: 9783642450426

ISBN-10: 3642450431

ISBN-13: 9783642450433

This booklet constitutes the completely refereed lawsuits of the thirty ninth foreign Workshop on Graph Theoretic options in computing device technology, WG 2013, held in Lübeck, Germany, in June 2013. The 34 revised complete papers awarded have been rigorously reviewed and chosen from sixty one submissions. The e-book additionally comprises abstracts. The papers hide a variety of subject matters in graph thought on the topic of desktop technology, comparable to structural graph idea with algorithmic or complexity purposes; layout and research of sequential, parallel, randomized, parameterized and dispensed graph and community algorithms; computational complexity of graph and community difficulties; computational geometry; graph grammars, graph rewriting structures and graph modeling; graph drawing and layouts; random graphs and versions of the net and scale-free networks; and aid of those techniques through appropriate implementations and applications.

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Additional resources for Graph-Theoretic Concepts in Computer Science: 39th International Workshop, WG 2013, Lübeck, Germany, June 19-21, 2013, Revised Papers

Example text

Conversely, if H has a unit interval representation Γ , then scale Γ by an integer factor t, so that each endpoint of each interval has integer coordinate. Then for each vertex v, the coordinate of the left endpoint of the interval for v defines a color c(v) such that for any pair u, v ∈ V , |c(u) − c(v)| ≤ t ⇔ (u, v) ∈ E. Graph Sandwich Problem: Given two graphs G1 = (V, E1 ) and G2 = (V, E2 ) on the same vertex set V , where E2 ⊆ E1 , and a property Π, does there exist a graph H = (V, E) on the same vertex set such that E2 ⊆ E ⊆ E1 and H satisfies property Π?

Jawaherul Alam1 , Steven Chaplick2 , Gaˇsper Fijavˇz3 , Michael Kaufmann4, Stephen G. Kobourov1, , and Sergey Pupyrev1,5 1 Department of Computer Science, University of Arizona, Tucson, AZ, USA Department of Applied Mathematics, Charles University, Prague, Czech Republic 3 Faculty of Computer and Information Science, University of Ljubljana, Slovenia Wilhelm-Schickhard-Institut f¨ur Informatik, Universit¨at T¨ubingen, T¨ubingen, Germany 5 Institute of Mathematics and Computer Science, Ural Federal University, Russia 2 4 Abstract.

The tree T in the proof of Lemma 9. Black vertices are in X , white vertices in Y . Lemma 10 (Clearing dependent vertices). Under the conditions of Lemma 9, suppose that in the (k + 1)-cops and robber game on T the cops have cleared all vertices in X \ {x} and the game is in a position where at most k cops are occupying vertices. Furthermore, assume that exactly |B | cops are occupying vertices of T , and in addition, for each vertex b ∈ B , either b is occupied by a cop, or NT (b) ∩ Y is occupied by cops.

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Graph-Theoretic Concepts in Computer Science: 39th International Workshop, WG 2013, Lübeck, Germany, June 19-21, 2013, Revised Papers by Feodor F. Dragan (auth.), Andreas Brandstädt, Klaus Jansen, Rüdiger Reischuk (eds.)


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