In graph theory, a priority matching (also called: maximum priority matching) is a matching that maximizes the number of high-priority vertices that participate in the matching. Formally, we are given a graph G = (V, E), and a partition of the vertex-set V into some k subsets, V1, …, Vk, called priority classes. A priority matching is a matching that, among all possible matchings, saturates the largest number of vertices from V1; subject to this, it saturates the largest number of vertices from V2; subject to this, it saturates the largest number of vertices from V3; and so on. Priority matchings were introduced by Alvin Roth, Tayfun Sonmez and in the context of . In this problem, the vertices are patient-donor pairs, and each edge represents a mutual medical compatibility. For example, an edge between pair 1 and pair 2 indicates that donor 1 is compatible with patient 2 and donor 2 is compatible with patient 1. The priority classes correspond to medical priority among patients. For example, some patients are in a more severe condition so they must be matched first. Roth, Sonmez and Unver assumed that each priority-class contains a single vertex, i.e., the priority classes induce a total order among the pairs. Later, Yasunori Okumura extended the work to priority-classes that may contain any number of vertices. He also showed how to find a priority matching efficiently using an algorithm for maximum-cardinality matching, with a run-time complexity of O(|V||E| + |V|2 log |V|). Jonathan S. Turner presented a variation of the augmenting path method (Edmonds' algorithm) that finds a priority matching in time O(|V||E|). Later, he found a faster algorithm for bipartite graphs: the algorithm runs in time (Wikipedia).
Intro to Priority Lists & Schedules
Worked out examples involving priority lists and schedules.
From playlist Discrete Math
Scheduling: The List Processing Algorithm Part 1
This lesson explains and provides an example of the list processing algorithm to make a schedule given a priority list. Site: http://mathispower4u.com
From playlist Scheduling
Scheduling: The Critical Path Algorithm Version 1 (Part 1)
This lesson explains how to create a priority list using version 1 of the critical path algorithm. Site: http://mathispower4u.com
From playlist Scheduling
Scheduling: The Decreasing Time Algorithm
This lesson explains how to use the decreasing time algorithm to create a priority list and then a schedule. Site: http://mathispower4u.com
From playlist Scheduling
Scheduling: The List Processing Algorithm Part 2
This lesson explains and provides an example of the list processing algorithm to create a digraph and make a schedule. Site: http://mathispower4u.com
From playlist Scheduling
Top 10 Job Interview Questions & Answers (for 1st & 2nd Interviews)
These Interview Questions and Answers will instantly prepare you for any job interview. Answering these Top 10 Interview Questions correctly is the key to nailing any job interview. Download a copy of the top 10 questions below: SPECIAL NOTICE: When I created this video, YouTube allowed
From playlist Job Interviews
A great way to improve your skills when learning to code is by solving coding challenges. Solving different types of challenges and puzzles can help you become a better problem solver, learn the intricacies of a programming language, prepare for job interviews, learn new algorithms, and mo
From playlist Learn To Code
Black Hat USA 2010: TitanMist: Your First Step to Reversing Nirvana 2/5
Speakers: Mario Vuksan, Tomislav Pericin Security is notoriously disunited. Every year multiple tools and projects are released and never maintained. TitanMist is its inverse opposite. Built on top of TitanEngine, it provides automation and manages all known and good PEID signatures, unpa
From playlist REVERSE ENGINEERING REDUX
#2 Order matching engine | Trading on Coinbase Pro - GDAX
Before we begin executing orders, we are going to talk about the GDAX order matching engine and how it operates. This will guide our expectations as we start experimenting with the various order types and parameters. In another video on the channel, we talked about exchanges, and we said
From playlist Trading - Advanced Order Types with Coinbase
Creating a New Task Solution Live Code 25 - Introduction to Yew.rs
If you have any feedback please leave them in the comments or let me know on Discord! Course Repo: https://github.com/brooks-builds/full-stack-todo-rust-course Twitch: https://twitch.tv/brookzerker Twitter: https://twitter.com/brooks_patton
From playlist Introduction to Yew.rs Course
EEVblog 1479 - Is Your Calculator WRONG?
Is your calculator WRONG? It could be! Looking at the issue of implied multiplication and how it can affect your calculations. Why do some Casio and TI calculators give a different result to others? And why do they differ from your phone calculator, google calculator, or Wolfram Alpha? How
From playlist Calculators
Filter and Sort 28 - Introduction to Yew.rs
If you have any feedback please leave them in the comments or let me know on Discord! Course Repo: https://github.com/brooks-builds/full-stack-todo-rust-course Twitch: https://twitch.tv/brookzerker Twitter: https://twitter.com/brooks_patton
From playlist Introduction to Yew.rs Course
Project Solution Live Code 9 - Introduction to Yew.rs
If you have any feedback please leave them in the comments or let me know on Discord! Course Repo: https://github.com/brooks-builds/full-stack-todo-rust-course Twitch: https://twitch.tv/brookzerker Twitter: https://twitter.com/brooks_patton
From playlist Introduction to Yew.rs Course
How to use Trello Labels - Beginner to Advanced Tutorial
Start using Rewind Backups for Trello and get $50 cashback: https://rewind.com/scott-friesen Labels give you so many more options when it comes to managing your Trello boards. So if you want to make your cards and lists meaningful, you need to know how to use Trello labels. In this video,
From playlist Recent Trello "How To" Training
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
Algorithms Course - Graph Theory Tutorial from a Google Engineer
This full course provides a complete introduction to Graph Theory algorithms in computer science. Knowledge of how to create and design excellent algorithms is an essential skill required in becoming a great programmer. You will learn how many important algorithms work. The algorithms are
From playlist Computer Science Concepts
Creating Priority Lists and Timelines (Decreasing Time Algorithm)
In this video the decreasing time algorithm is used to create a priority list and generate a timeline.
From playlist Discrete Math
Stream archive: Recording videos for Axum course (2022-11-17)
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/brookzerker
From playlist Uncut Live Streams