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Dynamic Trees

Dynamic Trees. Goal: maintain a forest of rooted trees with costs on vertices. Each tree has a root, every edge directed towards the root. Operations allowed: link( v , w ) : creates an edge between v (a root) and w . cut( v , w ) : deletes edge ( v , w ).

1.36k views • 96 slides

On-Line Construction

On-Line Construction. of Suffix Trees. E. Ukkonen. Overview. Suffix tries On-line construction of suffix tries in quadratic time Suffix trees On-line construction of suffix trees in linear time Applications. g. o. o. o. o. Suffix Trees.

824 views • 63 slides

Computational Geometry Seminar

Computational Geometry Seminar. Lecture 9 Eyal Zur. These edges are in convex position. Definitions Two edges of a geometric graph are in convex position if they are disjoint edges of a convex quadrilateral. A geometric graph is called proper if it has two edges in convex position.

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Polynomial-time approximation schemes for NP-hard geometric problems

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The max flow problem

The max flow problem. 11. 7. 5. -2. 2. 1. 10. 5. 4. 9. Ford-Fulkerson method. Ford-Fulkerson( G ) f = 0 while ( 9 simple path p from s to t in G f ) f := f + f p output f. A cut. S. T. c(S , T )=26. Lemma 26.5 + Corollary 26.6.

910 views • 31 slides

CPSC 689: Discrete Algorithms for Mobile and Wireless Systems

CPSC 689: Discrete Algorithms for Mobile and Wireless Systems. Spring 2009 Prof. Jennifer Welch. Lecture 25 . Topic: Unit Disk Graphs and Relatives Sources: Kuhn, Wattenhofer & Zollinger Barriere, Fraigniaud & Narayanan MIT 6.885 Fall 2008 slides. Unit Disk Graph Model.

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On Voting Caterpillars

Felix Fischer, Ariel D. Procaccia and Alex Samorodnitsky. On Voting Caterpillars. Tournaments. A = {1,...,m}: set of candidates. A tournament is a complete and asymmetric relation T on A. T (A) set of tournaments. Related to voting. The Copeland score of i is its outdegree .

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Oxyanions, metals, and transition metals

Oxyanions, metals, and transition metals. Oxyanions. POLYATOMIC ANIONS WITH O and another non-metal. SO 4 2-. C O 3 2-. Oxyanions. Top Down Most Common. Most O Per-ate -1 O -ate -2 O -ite -3 O hypo-ite. +1 O per - ate O - ate -1 O - ite -2 O hypo - ite.

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Some Results in Interval Routing

Some Results in Interval Routing. Francis C.M. Lau HKU and ITCS Tsinghua December 2, 2007. Compact Routing. Input: a network G with weighted edges. Output: a routing scheme for G. Every node has a mechanism to route a message through its next hop(s).

275 views • 16 slides