Computational problems in graph theory | Graph algorithms | Network theory | Polynomial-time problems
In graph algorithms, the widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight of the minimum-weight edge in the path. The widest path problem is also known as the maximum capacity path problem. It is possible to adapt most shortest path algorithms to compute widest paths, by modifying them to use the bottleneck distance instead of path length. However, in many cases even faster algorithms are possible. For instance, in a graph that represents connections between routers in the Internet, where the weight of an edge represents the bandwidth of a connection between two routers, the widest path problem is the problem of finding an end-to-end path between two Internet nodes that has the maximum possible bandwidth. The smallest edge weight on this path is known as the capacity or bandwidth of the path. As well as its applications in network routing, the widest path problem is also an important component of the Schulze method for deciding the winner of a multiway election, and has been applied to digital compositing, metabolic pathway analysis, and the computation of maximum flows. A closely related problem, the minimax path problem or bottleneck shortest path problem asks for the path that minimizes the maximum weight of any of its edges. It has applications that include transportation planning. Any algorithm for the widest path problem can be transformed into an algorithm for the minimax path problem, or vice versa, by reversing the sense of all the weight comparisons performed by the algorithm, or equivalently by replacing every edge weight by its negation. (Wikipedia).
Longest Simple Path - 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
The Shortest Way Home- An Unexpected Result
A story about how I stumbled on a very surprising result on my way home. Apparently math isn't entirely useless! Sorry about the sound :(
From playlist Some fun math videos about approximation
Longest Simple Path - 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
Find the Shortest Path - 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
Find the Shortest Path - 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
OCR MEI MwA K: LP Solvers: 05 Longest Path Example 1
https://www.buymeacoffee.com/TLMaths Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dea
From playlist TEACHING OCR MEI Modelling with Algorithms
Graph Theory: 20. Edge Weighted Shortest Path Problem
This video explains the problem known as the edge-weighted shortest path problem. The next two videos look at an algorithm which provides a solution to the problem. --An introduction to Graph Theory by Dr. Sarada Herke. For quick videos about Math tips and useful facts, check out my othe
From playlist Graph Theory part-4
The Shortest Distance Between A and B, with Two Reflections.
We present the solution to the shortest path problem between two given points with the constraint that the path needs to touch both x-axis and y-axis. A related problem is the Heron's shortest path problem. We give an visual animation of the problem and high level proof ideas. Both types
From playlist Geometry Problems for AMC Prep
2 variable functions: graphs + limits tutorial
Free ebook http://tinyurl.com/EngMathYT A tutorial on functions of two variables, how to sketch their graphs and calculate their limits. Plenty of examples are presented and solved.
From playlist Engineering Mathematics
THE FIGURE: Peripheral Vision & Axis/Width
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From playlist THE FIGURE
Learn Algebra 6 : Rate of Change
New Video Everyday at 1 PM EST!!! [ Click Notification Bell ] In this video I focus on Rate of Change, the Intercept Method and the Point to Point Method with numerous examples. I was asked by a local teacher to create an Algebra course that quickly reviewed all the key Algebra knowledge
From playlist Learn Algebra
Massimo Ferri (8/30/21): Selection of points in persistence diagrams
The need for point selection in a persistence diagram is shown. We recall V. Kurlin's selection criterion, intended for producing a hierarchy of segmentations out of a point cloud: diagonal gaps. We also show some applications of it on generalised persistence functions. Then we introduce t
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
CORRUGATED SOLAR FORCED AIR PASSIVE HEATER FIGHT HIGH HEATING OIL GREAT DEPRESSION 2
DIY solar air heater for home heating needs/ FIGHT HIGH HEATING OIL prices and allow to save money for other things like paying your mortgage or refinancing your home. Hope this helps:-) Note: Look T THE VIDEO RESPONSES THEY ARE VERY GOOD! This is a prototype easy to build rooftop forced a
From playlist SOLAR HOT AIR ROOF HEATERS FORCED AIR HEATERS
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Introduction to Serious Games, History, High-level Overview of Game Design Frameworks
From playlist 2021 - IMT4307 - Serious Games
Circles: radius, diameter, circumference and Pi | Geometry | Khan Academy
A circle is at the foundation of geometry and how its parts relate to each other is both completely logical and a wonder. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/e/radius_diameter_and_circumf
From playlist High School Geometry | Get Ready for Grade Level | Khan Academy
All Pairs Shortest Paths - 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
Immune cells tackle a human obstacle course
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George Hart - Little Zonohedral Library - CoM Oct 2020
I’ll show how a simple geometric process of extending v’s into parallelograms can be used to design a wide variety of physically constructable structures. The results are beautiful generalizations of zonohedra, a class of polyhedra based on parallel-sided faces. As a practical example, a
From playlist Celebration of Mind
Dijkstra's Shortest Path Algorithm - 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