Span Programs, and-or trees, and effective resistance stacey jeffery shelby kimmel.

Slides:



Advertisements
Similar presentations
Hardness of testing 3- colorability in bounded degree graphs Andrej Bogdanov Kenji Obata Luca Trevisan.
Advertisements

Graphs and Finding your way in the wilderness
O(N 1.5 ) divide-and-conquer technique for Minimum Spanning Tree problem Step 1: Divide the graph into  N sub-graph by clustering. Step 2: Solve each.
Minimum Spanning Trees (MSTs) Prim's Algorithm For each vertex not in the tree, keep track of the lowest cost edge that would connect it to the tree This.
The Greedy Method1. 2 Outline and Reading The Greedy Method Technique (§5.1) Fractional Knapsack Problem (§5.1.1) Task Scheduling (§5.1.2) Minimum Spanning.
Tic Tac Toe Architecture CSE 5290 – Artificial Intelligence 06/13/2011 Christopher Hepler.
Nested Quantum Walks Andrew M. Childs Stacey Jeffery Robin Kothari Frederic Magniez QIP 2014 arXiv: arXiv: arXiv: SODA 2013.
Robust Winners and Winner Determination Policies under Candidate Uncertainty JOEL OREN, UNIVERSITY OF TORONTO JOINT WORK WITH CRAIG BOUTILIER, JÉRÔME LANG.
Computability and Complexity 13-1 Computability and Complexity Andrei Bulatov The Class NP.
7.3 Kruskal’s Algorithm. Kruskal’s Algorithm was developed by JOSEPH KRUSKAL.
Testing the Diameter of Graphs Michal Parnas Dana Ron.
A researcher knows that the average heart rate in the population is 72 beats/minute. He is interested in determining if people who walk at a moderate rate.
Chapter 5 Trees PROPERTIES OF TREES 3 4.
Minimum-Cost Spanning Tree weighted connected undirected graph spanning tree cost of spanning tree is sum of edge costs find spanning tree that has minimum.
Binomial Distributions. Binomial Experiments Have a fixed number of trials Each trial has tow possible outcomes The trials are independent The probability.
Spring 2004 EE4272 The Need of Spanning Tree Algorithm.
Minimum spanning tree Prof Amir Geva Eitan Netzer.
Minimum Spanning Tree Dr. Bernard Chen Ph.D. University of Central Arkansas Fall 2008.
1 Quantum query complexity of some graph problems C. DürrUniv. Paris-Sud M. HeiligmanNational Security Agency P. HøyerUniv. of Calgary M. MhallaInstitut.
1 Power and Sample Size in Testing One Mean. 2 Type I & Type II Error Type I Error: reject the null hypothesis when it is true. The probability of a Type.
Minimum Spanning Tree Given a weighted graph G = (V, E), generate a spanning tree T = (V, E’) such that the sum of the weights of all the edges is minimum.
Quantum queries on permutations Taisia Mischenko-Slatenkova, Agnis Skuskovniks, Alina Vasilieva, Ruslans Tarasovs and Rusins Freivalds “COMPUTER SCIENCE.
7.1 and 7.2: Spanning Trees. A network is a graph that is connected –The network must be a sub-graph of the original graph (its edges must come from the.
Decision Trees Shalev Ben-David. Definition Given a function and oracle access to, determine f(x) with minimum number of queries E.g. f is OR on the bits.
Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?
An Illustration of Kruskal’s Algorithm Prepared Spring 2006 by Sean Szumlanski Computer Science II, University of Central Florida.
1 Broadcast. 2 3 Use a spanning tree Root 4 synchronous It takes the same time at link to send a message It takes the same time at each node to process.
Lesson 5-6: Quadratic Formula Algebra II CP Mrs. Mongold.
Computing Boolean Functions: Exact Quantum Query Algorithms and Low Degree Polynomials Alina Dubrovska, Taisia Mischenko-Slatenkova University of Latvia.
 Scientific Method Quiz. Question # 1  1. The scientific method has 8 steps.  TRUE OR FALSE.
Prims Algorithm for finding a minimum spanning tree
What is the chromatic number of this graph?. We have found a four-coloring. How do we know the chromatic number is not less than four?
基 督 再 來 （一）. 經文： 1 你們心裡不要憂愁；你們信神，也當信我。 2 在我父的家裡有許多住處；若是沒有，我就早 已告訴你們了。我去原是為你們預備地去 。 3 我 若去為你們預備了地方，就必再來接你們到我那 裡去，我在 那裡，叫你們也在那裡， ] ( 約 14 ： 1-3)
2.4 Complex Numbers Standard form of a complex number a + bi Adding and Subtracting complex numbers (3 – i) + (2 + 3i) = 2i + (-4 – 2i) = 3 - (-2 + 3i)
EXAMPLE FORMULA DEFINITION 1.
Quantum algorithms for evaluating Boolean formulas
Chapter 9 : Graphs Part II (Minimum Spanning Trees)
Debate Partitions.
Minimum Spanning Tree Chapter 13.6.
Random walks on complex networks
Find the first partial derivatives of the function. {image}
Minimum-Cost Spanning Tree
Tools for the Analysis and Design of Complex Multi-Scale Networks: Dynamics; Security; Uncertainty MURI Annual Review Columbus OH, October 14, 2010 J.
CS200: Algorithm Analysis
Connected Components Minimum Spanning Tree
Performance Comparison of Tarry and Awerbuch Algorithms
Production Scorecard Production Scorecard Production Scorecard
Kruskal’s Algorithm for finding a minimum spanning tree
Слайд-дәріс Қарағанды мемлекеттік техникалық университеті
Raymond Exclusive Algorithm
.. -"""--..J '. / /I/I =---=-- -, _ --, _ = :;:.
Sorting.
2.4 Constructivist Theory
II //II // \ Others Q.
I1I1 a 1·1,.,.,,I.,,I · I 1··n I J,-·
The Hypothesis Test About μ Determining n to control α and Power
Lecture 4 Section – Tue, Aug 28, 2007
Example Make x the subject of the formula
Minimum Spanning Trees (MSTs)
Prim’s Minimum Spanning Tree Algorithm Neil Tang 4/1/2008
Lecture 3 Section – Tue, Sep 5, 2006
Prim’s algorithm for minimum spanning trees
. '. '. I;.,, - - "!' - -·-·,Ii '.....,,......, -,
Chapter 15.5 from “Distributed Algorithms” by Nancy A. Lynch
Lecture 4 Section – Tue, Jan 23, 2007
Minimum-Cost Spanning Tree
Online Pogo Game Customer Service
Pogo Game Customer Care Helpline Number

Call Pogo Contact Phone Number and Enjoy Pogo Game
Presentation transcript:

Span Programs, and-or trees, and effective resistance stacey jeffery shelby kimmel

Part I: Span Programs Part II: and-or trees Span Programs Span Program for or Span Program for st-connectivity and-or trees average choice complexity and-or trees and st-connectivity winning a game tree

Part I: Span Programs

Quantum Query Complexity

Span Programs

REJECTEDACCEPTED

Span Programs REJECTED ACCEPTED

Span Programs and Quantum Algorithms

Example: OR

Span Program for ST-Connectivity

Part II: and-or Trees

AND-OR Trees

Two-Player Game

Fault Complexity

Average Choice Complexity

Criticality

Average Choice Complexity

Formulas and Connectivity

And-or Trees and st-connectivity

Span Program for AND-OR Trees

Winning a Game

future directions

Span Programs for st-Connectivity

Bedankt!

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.