PPT-A light metric spanner

LeeAd Gottlieb Graph spanners A spanner for graph G is a subgraph H H contains vertices subset of edges of G Some qualities of a spanner Degree diameter stretch weight Applications networks routing TSP . Why do scientists need a standard system of measurements?. Remember that science must be . repeatable. – another scientist has to able to repeat your experiment using the same amounts, concentrations, lengths, weights, etc.. ANSWER ON BACK:. 1) Names & abbreviations of the different “metric units” which appear on your collage. 2) What kinds of things do you think each “metric unit” is used to measure?. 3) What “English unit” would you compare each “metric unit” to?. Piotr. Berman, . Sofya. . Raskhodnikova. , . Ge. . Ruan. Pennsylvania . State University. Graph Spanners . [Awerbuch85,Peleg Schäffer89]. A . subgraph. . H. of . G . is a . k. -spanner. . if for all pairs of vertices . Spanner of Directed Graphs. Kyomin. Jung. KAIST. 2009 . Combinatorics. Workshop. Joint work with . A. rnab. Bhattacharyya . MIT. . Elena . Grigorescu. . MIT. . . L. inear Time Algorithm for Computing a . -Spanner of . Size in Weighted Graphs.  . Surender. . Baswana. and Sandeep Sen. Slides and Presentation By: . Nadav. Hollander. So, what exactly is a. -spanner. James C. Corbett et al . OSDI 2012. Presenter: Akshay Ravichandran. Outline. What is Spanner?. Why Spanner?. Implementation. External Consistency. Concurrency Control. Evaluation. Related Work. Future Work. . What is Matter?. Matter is anything that takes up space. Can you think of examples of matter?. All matter has Mass. What IS mass?. Mass is the amount of material that an object has.. Tools of Scientists. Measurements. It is important. that . measurements. be accurate &. easily . communicated. to other people. The scientific. system of. measurement. is called the. metric system. Scientists . Use metric . Grigory. . Yaroslavtsev. . Penn State + AT&T Labs - Research (intern). Joint work with . Berman (PSU). , . Bhattacharyya (MIT). , . Makarychev. (IBM). , . Raskhodnikova. (PSU). Directed. Spanner Problem. Capacity. Capacity refers to how much something can hold or how much space it takes up. We can measure the capacity of regular object using the formula . length x width x height. .. 10 cm. 9 cm. 8 cm. . EQ: How can you apply your understanding of measurement units to express larger units in terms of smaller units within one system?. Vocabulary. Capacity. -the measurement of how much liquid a container can hold. System. David F. Bacon et al. . Google, Inc. . Presenter: Che-Lin Huang. Overview. Motivation. Introduction to Spanner. Distributed . Query. Query Range . Extraction. Query . Restart. Common SQL . Dialect. The basic unit of length in the metric system All units of length in the metric system are derivedone hundredth1 centimeter1 one-hundredth of a meter10001 kilometer km1000 meters mhecto-1001 hectomete 16. th. Marcel Grossmann Meeting. July 5 – 10, 2021. David Lucchesi. , Luciano Anselmo, Massimo Bassan, Marco Lucente, Carmelo . Magnafico. , Carmen Pardini, Roberto Peron, Giuseppe . Pucacco. , Feliciana Sapio, Massimo Visco.