Shannon capacity of a graph

Computing Limits from a Graph with Infinities

In this video I do an example of computing limits from a graph with infinities.

From playlist Limits

Simple Bounds on Vertex Connectivity | Graph Theory

We know that the vertex connectivity of a graph is the minimum number of vertices that can be deleted to disconnect it or make it trivial. We may then ask, what is an upper bound on the connectivity of a graph? What is a lower bound on the vertex connectivity of a graph? We give the most b

From playlist Graph Theory

limits from a graph (all cases covered!)

In this video I go through all the cases of how to evaluate limits from a graph. This video is very comprehensive and should provide the viewer with the tools to evaluate limits from the graph of a function. The graphs used in this video involve removable discontinuities, jump discontinuit

From playlist Calculus 1

Evaluate the limit of a graph with asymptotes

👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When evaluating the limit of a function from the graph of th

From playlist Evaluate Limits from a Graph

Bound on the Sum of Minimum Degrees of Graphs and their Complements | Graph Theory Proofs

We know the degree of a vertex in a simple graph with n vertices has an upper bound of n-1. The degree of a vertex is n-1 when it is adjacent to every vertex in the graph except for itself (it cannot be adjacent to itself). Then certainly the minimum degree of a graph is less than or equal

From playlist Graph Theory

The asymptotic spectrum of graphs - Jeroen Zuiddam

Short talks by postdoctoral members Topic: The asymptotic spectrum of graphs Speaker: Jeroen Zuiddam Affiliation: Member, School of Mathematics Date: September 27, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Asymptotic spectra and Applications I - Jeroen Zuiddam

Computer Science/Discrete Mathematics Seminar I Topic: Asymptotic spectra and Applications I Speaker: Jeroen Zuiddam Affiliation: Member, School of Mathematics Date: October 8, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Nexus Trimester - Ofer Shayevitz (Tel Aviv University)

Zero-error capacity for multiuser channels Ofer Shayevitz (Tel Aviv University) March,03 206 Abstract: The capacity of a point-to-point communication channel under a zero-error criterion was originally studied by Shannon in 1956. Despite the apparent simplicity of the problem, and in cont

From playlist Nexus Trimester - 2016 - Central Workshop

Size of Tree Graph Complement equals Size of a Complete Graph | Graph Theory

How many edges does the complement of a tree graph have? We'll be answering this question in today's graph theory video lesson using the fact that a tree of order n has n-1 edges, that is - a size of n-1. Knowing this, we can easily find an expression for the size of the complement of a tr

From playlist Graph Theory Exercises

How to determine the limit of a graph from the left and right side

👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When evaluating the limit of a function from the graph of th

From playlist Evaluate Limits from a Graph

Learn to evaluate the limit from the left right and general of a graph

👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When evaluating the limit of a function from the graph of th

From playlist Evaluate Limits from a Graph

Sergio Verdu - Information Theory Today

Founded by Claude Shannon in 1948, information theory has taken on renewed vibrancy with technological advances that pave the way for attaining the fundamental limits of communication channels and information sources. Increasingly playing a role as a design driver, information theory is b

From playlist NOKIA-IHES Workshop

Lec 2 | MIT 6.451 Principles of Digital Communication II

Performance of Small Signal Constellations View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.451 Principles of Digital Communication II

How to understand evaluating the limit of a graph

👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When evaluating the limit of a function from the graph of th

From playlist Evaluate Limits from a Graph

IMS Public Lecture: Trends in Wireless Communications

Sergio Verdú, Princeton University

From playlist Public Lectures

Mini-course on information by Rajaram Nityananda (Part 1)

Information processing in biological systems URL: https://www.icts.res.in/discussion_meeting/ipbs2016/ DATES: Monday 04 Jan, 2016 - Thursday 07 Jan, 2016 VENUE: ICTS campus, Bangalore From the level of networks of genes and proteins to the embryonic and neural levels, information at var

From playlist Information processing in biological systems

Shannon 100 - 26/10/2016 - János KÖRNER

Shannon's legacy in combinatorics János Körner (Université de Rome La Sapienza) In 1956 Claude Shannon defined the zero-error capacity of a discrete memoryless channel. He realized that the problem of its determination is immensely difficult and a simple formula for this capacity might n

From playlist Shannon 100

Nexus Trimester - Young Han Kim (UCSD)

Fundamental Inequalities and Capacity Upper Bounds Young-Han Kim (UCSD) February 17, 2016 Abstract : Index coding is a canonical problem in network information theory that provides a simple yet powerful platform to develop new coding techniques and capacity bounds. We discuss upper bounds

From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

Asymptotic spectra and their applications II - Jeroen Zuiddam

Computer Science/Discrete Mathematics Seminar II Topic: Asymptotic spectra and their applications II Speaker: Jeroen Zuiddam Affiliation: Member, School of Mathematics Date: October 16, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

Minimum and Maximum Degree Vertices in Complement Graphs | Graph Complements, Graph Theory

How do we know what vertices will have the minimum and maximum degree of a complement graph based on the degrees of the original graph? We go over properties about just this topic in today's video graph theory lesson! Let G be a graph with vertices v and u such that the degree of v is the

From playlist Graph Theory