Positional games

Clique game

The clique game is a positional game where two players alternately pick edges, trying to occupy a complete clique of a given size. The game is parameterized by two integers n > k. The game-board is the set of all edges of a complete graph on n vertices. The winning-sets are all the cliques on k vertices. There are several variants of this game: * In the strong positional variant of the game, the first player who holds a k-clique wins. If no one wins, the game is a draw. * In the Maker-Breaker variant , the first player (Maker) wins if he manages to hold a k-clique, otherwise the second player (Breaker) wins. There are no draws. * In the Avoider-Enforcer variant, the first player (Avoider) wins if he manages not to hold a k-clique. Otherwise, the second player (Enforcer) wins. There are no draws. A special case of this variant is Sim. The clique game (in its strong-positional variant) was first presented by Paul Erdős and John Selfridge, who attributed it to Simmons. They called it the Ramsey game, since it is closely related to Ramsey's theorem (see below). (Wikipedia).

Video thumbnail

What is a Clique? | Graph Theory, Cliques

What is a clique? A clique in graph theory is an interesting concept with a lot of depth to explore. We define the term and give some examples in today's math video lesson! A clique C of a graph G is usually defined as a subset of the vertex set of G such that every pair of distinct verti

From playlist Graph Theory

Video thumbnail

General Clique - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

Video thumbnail

Clique - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

Video thumbnail

Clojure - collections (4/6)

Part of a series teaching the Clojure language. For other programming topics, visit http://codeschool.org

From playlist the Clojure language

Video thumbnail

Clojure - the Reader and Evaluator (4/4)

Part of a series teaching the Clojure language. For other programming topics, visit http://codeschool.org

From playlist the Clojure language

Video thumbnail

Clojure - PRACTICAL: snake game (1/2)

Part of a series teaching the Clojure language. For other programming topics, visit http://codeschool.org

From playlist the Clojure language

Video thumbnail

Clojure - the Reader and Evaluator (2/4)

Part of a series teaching the Clojure language. For other programming topics, visit http://codeschool.org

From playlist the Clojure language

Video thumbnail

Clique Problem - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

Video thumbnail

Clojure - creating macros

Part of a series teaching the Clojure language. For other programming topics, visit http://codeschool.org

From playlist the Clojure language

Video thumbnail

R8. NP-Complete Problems

MIT 6.046J Design and Analysis of Algorithms, Spring 2015 View the complete course: http://ocw.mit.edu/6-046JS15 Instructor: Amartya Shankha Biswas In this recitation, problems related to NP-Completeness are discussed. License: Creative Commons BY-NC-SA More information at http://ocw.mit

From playlist MIT 6.046J Design and Analysis of Algorithms, Spring 2015

Video thumbnail

Go Lesson 10: Cuts, Ladders and Getas | Playing Go | N J Wildberger

We discuss several important concepts and techniques that all beginner players of Go must understand: the significance of cutting groups, the capturing technique called "a ladder", and the loose capture technique called "geta" in Japanese.

From playlist Playing Go

Video thumbnail

Lecture 25 - Other Reductions

This is Lecture 25 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www3.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: https://www.cs.stonybrook.edu/~skiena/373/newlectures/lecture21.pdf More inf

From playlist CSE373 - Analysis of Algorithms 2016 SBU

Video thumbnail

Lecture 23 - Cook's Theorem & Harder Reductions

This is Lecture 23 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture25.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

Video thumbnail

Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - V.Paulsen

Vern Paulsen (Waterloo) / 12.09.17 Title: C*-algebras and Synchronous Games. Abstract: In recent years a deep connection has been found between Connnes’ embedding problem and Tsirelson’s questions about various sets of probabilistic quantum correlations, called local, quantum, quantum a

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

Video thumbnail

Lecture 22 - More Reductions

This is Lecture 22 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture24.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

Video thumbnail

Network Analysis. Lecture10. Community detection

Community detection algorithms. Overlapping communities. Clique percolation method. Heuristic methods. Label propagation. Fast community unfolding. Random walk based methods. Walktrap. Nibble. Lecture slides: http://www.leonidzhukov.net/hse/2015/networks/lectures/lecture10.pdf

From playlist Structural Analysis and Visualization of Networks.

Video thumbnail

15. NP-Completeness

MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Covered NP-completeness; SAT and 3SAT;

From playlist MIT 18.404J Theory of Computation, Fall 2020

Video thumbnail

War of the Cliques - Warlord Era 1922-1928 (Chinese History Documentary)

Watch our WW2 series Rhineland 45 and all our YouTube videos ad-free on Nebula: https://nebula.tv/videos/real-time-history-1-come-hell-or-high-water-i-rhineland-45 The Chinese Warlord Era was a violent period of chaos and civil war in which multiple factions (so called cliques) fought eac

From playlist All Videos from THE GREAT WAR - chronological order

Video thumbnail

Clojure - PRACTICAL: tic-tac-toe (2/3)

Part of a series teaching the Clojure language. For other programming topics, visit http://codeschool.org

From playlist the Clojure language

Video thumbnail

The Secret Link Between Thousands of Unsolved Math Problems

Get Nebula using my link for 40% off an annual subscription: https://go.nebula.tv/upandatom Watch my exclusive video on the SAT to clique reduction: https://nebula.tv/videos/upandatom-sat-to-clique-reduction-bonus-video-from-npcompleteness Hi! I'm Jade. If you'd like to consider supportin

From playlist Math

Related pages

John Selfridge | Positional game | Clique (graph theory) | Strong positional game | Ramsey's theorem | Complete graph | Paul Erdős | Strategy-stealing argument | Maker-Breaker game | Sim (pencil game) | Avoider-Enforcer game