In graph theory, a branch of mathematics, a chordal completion of a given undirected graph G is a chordal graph, on the same vertex set, that has G as a subgraph.A minimal chordal completion is a chordal completion such that any graph formed by removing an edge would no longer be a chordal completion. A minimum chordal completion is a chordal completion with as few edges as possible. A different type of chordal completion, one that minimizes the size of the maximum clique in the resulting chordal graph, can be used to define the treewidth of G. Chordal completions can also be used to characterize several other graph classes including AT-free graphs, claw-free AT-free graphs, and cographs. The minimum chordal completion was one of twelve computational problems whose complexity was listed as open in the 1979 book Computers and Intractability.Applications of chordal completion include modeling the problem of minimizing fill-in when performing Gaussian elimination on sparse symmetric matrices, and reconstructing phylogenetic trees. Chordal completions of a graph are sometimes called triangulations, but this term is ambiguous even in the context of graph theory, as it can also refer to maximal planar graphs. (Wikipedia).
What is the definition of a geometric sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Determine if a sequence is geometric or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Determine if a sequence is geometric or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Lorenzo Ruffoni - Graphical splittings of Artin kernels
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Lorenzo Ruffoni, Florida State University Title: Graphical splittings of Artin kernels Abstract: A main feature of the theory of right-angled Artin groups (RAAGs) consists in the fact that the algebraic properties of the g
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Stanford Lecture: Donald Knuth - "Trees and chordal graphs" (2012)
Professor Knuth's 18th Annual Christmas Tree Lecture at Stanford December 14, 2012 Chordal graphs—also known as triangulated graphs or perfect-elimination graphs—are perhaps the most important generalizations of trees. Many graph-theoretical problems can be solved much more efficiently on
From playlist Donald Knuth Lectures
José Samper Seminar (4/25/17): Higher Chordality
From playlist AATRN 2017
Moments in positivity:metric positivity,covariance estimation,novel graph invariant by Apoorva Khare
ABSTRACT: I will discuss the connections of matrix positivity and its preservers to multiple sub-fields of mathematics: analysis, metric geometry, combinatorics, and also downstream applications. This includes classical results by Schur, Rudin, Loewner, Karlin, and their students: FitzGera
From playlist ICTS Colloquia
Eveliina Peltola - On crossing probabilities in critical random-cluster models
I will discuss exact solvability results (in a sense) for scaling limits of interface crossings in critical random-cluster models in the plane with various boundary conditions. The results are rigorous for the FK-Ising model, Bernoulli percolation, and the spin-Ising model in appropriate s
From playlist 100…(102!) Years of the Ising Model
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 3) by Greg Blekherman
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Destroying WORDLE spin-offs: Quordle, Absurdle, Survival (with coding)
I picked three wordle spin-offs: Quordle, Absurdle, Survival and wrote the Python bot that plays them from screenshots. Full (or at least the fullest I found) list of Wordle clones: https://gist.github.com/maxspero/0a2f536b9561d829caf6bd994a34193d Quordle, Wordle on 4 boards at the same
From playlist Bots Playing Games
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
How to determine if a sequence is arithmetic or geometric
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Gary Gordon and Liz McMahon: Generalizations of Crapo's Beta Invariant
Abstract: Crapo's beta invariant was defined by Henry Crapo in the 1960s. For a matroid M, the invariant β(M) is the non-negative integer that is the coefficient of the x term of the Tutte polynomial. Crapo proved that β(M) is greater than 0 if and only if M is connected and M is not a loo
From playlist Combinatorics
How to determine if a sequence is geometric or not
👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric seque
From playlist Sequences
Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 4) by Greg Blekherman
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study o
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
SHOP TIPS #283 Cutting a Woodruff Keyseat on Atlas Lathe - economy method tubalcain
Here's how to Cut a Woodruff Keyseat on the Atlas Lathe - using a shop built fixture.
From playlist #3 MACHINE SHOP TIPS tubalcain playlist #201 thru #300
Ex: Determine if a Sequence is Arithmetic or Geometric (geometric)
This video provides two examples of how to determine if a sequence is arithmetic or geometric. These two examples are geometric. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Sequences