Mathematical chemistry | Application-specific graphs
Chemical graph theory is the topology branch of mathematical chemistry which applies graph theory to mathematical modelling of chemical phenomena.The pioneers of chemical graph theory are Alexandru Balaban, Ante Graovac, Iván Gutman, Haruo Hosoya, Milan Randić and Nenad Trinajstić (also Harry Wiener and others).In 1988, it was reported that several hundred researchers worked in this area, producing about 500 articles annually. A number of monographs have been written in the area, including the two-volume comprehensive text by Trinajstić, Chemical Graph Theory, that summarized the field up to mid-1980s. The adherents of the theory maintain that the properties of a chemical graph (i.e., a graph-theoretical representation of a molecule) give valuable insights into the chemical phenomena. Others contend that graphs play only a fringe role in chemical research. One variant of the theory is the representation of materials as infinite Euclidean graphs, particularly crystals by periodic graphs. (Wikipedia).
Graph Theory: 02. Definition of a Graph
In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio
From playlist Graph Theory part-1
Graph Theory: 04. Families of Graphs
This video describes some important families of graph in Graph Theory, including Complete Graphs, Bipartite Graphs, Paths and Cycles. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https://www.youtube.com/watch?v=S1Zwhz-MhCs (Graph Theory: 02. Definit
From playlist Graph Theory part-1
What is a Graph? | Graph Theory
What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each
From playlist Graph Theory
Graph Theory: 03. Examples of Graphs
We provide some basic examples of graphs in Graph Theory. This video will help you to get familiar with the notation and what it represents. We also discuss the idea of adjacent vertices and edges. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https
From playlist Graph Theory part-1
The Definition of a Graph (Graph Theory)
The Definition of a Graph (Graph Theory) mathispower4u.com
From playlist Graph Theory (Discrete Math)
Graph Theory: 05. Connected and Regular Graphs
We give the definition of a connected graph and give examples of connected and disconnected graphs. We also discuss the concepts of the neighbourhood of a vertex and the degree of a vertex. This allows us to define a regular graph, and we give some examples of these. --An introduction to
From playlist Graph Theory part-1
Graph Theory FAQs: 01. More General Graph Definition
In video 02: Definition of a Graph, we defined a (simple) graph as a set of vertices together with a set of edges where the edges are 2-subsets of the vertex set. Notice that this definition does not allow for multiple edges or loops. In general on this channel, we have been discussing o
From playlist Graph Theory FAQs
This lesson introduces graph theory and defines the basic vocabulary used in graph theory. Site: http://mathispower4u.com
From playlist Graph Theory
Some themes in modern chemical reaction network theory by Murad Banaji
DISCUSSION MEETING : MATHEMATICAL AND STATISTICAL EXPLORATIONS IN DISEASE MODELLING AND PUBLIC HEALTH ORGANIZERS : Nagasuma Chandra, Martin Lopez-Garcia, Carmen Molina-Paris and Saumyadipta Pyne DATE & TIME : 01 July 2019 to 11 July 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore
From playlist Mathematical and statistical explorations in disease modelling and public health
Aurora Clark (3/10/20): Topology in chemistry applications
Title: Topology in chemistry applications: Order parameters, collective variables and so much more Speaker: Aurora Clark, Department of Chemistry, Washington State University Abstract: In recent years the methods associated with topological data analysis have begun to be used to understa
From playlist DELTA (Descriptors of Energy Landscape by Topological Analysis), Webinar 2020
Alexander Gorsky - Random Regular Graphs and Critical Phenomena in the Forest
The partition functions of perturbed ensembles of random regular graphs (RRG) which discretize 2d surfaces and yield perturbed pure 2d quantum gravity will be discussed. The phase transitions for the RRG perturbed by the chemical potentials for short cycles will be demonstrated numerically
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
Aurora Clark (5/26/21): Multiscale Many-body Correlations and Structure in Chemistry Data
Full Title: Multiscale Many-body Correlations and Structure in Chemistry Data – Integrating Graphs, Topology and Geometry to Provide Fundamental Insight Abstract: Although Chemistry is inherently mathematical and foundational theories rely upon beautiful and complex applications of differ
From playlist AATRN 2021
AMMI 2022 Course "Geometric Deep Learning" - Lecture 1 (Introduction) - Michael Bronstein
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 1: Symmetry through the centuries • First neural networ
From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)
John Baez - Categories: the Mathematics of Connection - IPAM at UCLA
Recorded 16 February 2022. John Baez of University of California, Riverside, Mathematics presents "Categories: the Mathematics of Connection" at IPAM's Mathematics of Collective Intelligence Workshop. Abstract: As we move from the paradigm of modeling one single self-contained system at a
From playlist Workshop: Mathematics of Collective Intelligence - Feb. 15 - 19, 2022.
A conversation between Jonathan Gorard and Stephen Wolfram at the Wolfram Summer School 2022
Stephen Wolfram plays the role of Salonnière in an on-going series of intellectual explorations with special guests. In this episode, Jonathan Gorard joins Stephen at the 20th annual Wolfram Summer School. Watch all of the conversations here: https://wolfr.am/youtube-sw-conversations Foll
From playlist Conversations with Special Guests
Raffaella Mulas - Spectral theory of hypergraphs
Hypergraphs are a generalization of graphs in which vertices are joined by edges of any size. In this talk, we generalize the graph normalized Laplace operators to the case of hypergraphs, and we discuss some properties of their spectra. We discuss the geometrical meaning of the largest an
From playlist Research Spotlight
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Wolfram Physics Project: Working Session Tuesday, Mar. 8, 2022 [Chemistry] --- Part 1
This is a Wolfram Physics Project working session on chemistry in the Wolfram Model. Part 02: https://youtu.be/mmczXsjd0zI Originally livestreamed at: [https://twitch.tv/stephen_wolfram] Stay up-to-date on this project by visiting our website: [http://wolfr.am/physics] Check out th
From playlist Wolfram Physics Project Livestream Archive
Introduction to Graph Theory: A Computer Science Perspective
In this video, I introduce the field of graph theory. We first answer the important question of why someone should even care about studying graph theory through an application perspective. Afterwards, we introduce definitions and essential terminology in graph theory, followed by a discuss
From playlist Graph Theory
History of Science and Technology Q&A (March 8, 2023)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of thi
From playlist Stephen Wolfram Ask Me Anything About Science & Technology