Search results

* a directed graph <math>G(V,E)</math>; A fundamental fact in flow theory is that cuts always upper bound flows. ...

In probability theory, the word "condition" is a verb. "Conditioning on the event ..." means that = Min-Cut in a Graph = ...

=== Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem (graph, multicolor)| ...

=== Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem (graph, multicolor)| ...

=== Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem (graph, multicolor)| ...

=== Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem (graph, multicolor)| ...

=== Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem (graph, multicolor)| ...

=== Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem (graph, multicolor)| ...

Consider a graph <math>G(V,E)</math> which is randomly generated as: Such graph is denoted as '''<math>G(n,p)</math>'''. This is called the '''Erdős–Rényi ...

<li>[<strong>Chernoff bound meets graph theory</strong>] ...pproaching 1 (as <math>n</math> tends to infinity), the Erdős–Rényi random graph <math>\textbf{G}(n,1/2)</math> has the property that the maximum degree is ...

Formally, a boolean circuit is a directed acyclic graph. Nodes with indegree zero are input nodes, labeled <math>x_1, x_2, \ldots , ...>v</math> shakes hand. The handshaking lemma states that in any undirected graph, the number of vertices whose degrees are odd is even. It is sufficient to ...

=== Ramsey's theorem for graph === {{Theorem|Ramsey's Theorem (graph, multicolor)| ...

==== Transition graph ==== ...eighted directed graph <math>G(V,E,w)</math> is said to be a '''transition graph''' of a finite Markov chain with transition matrix <math>P</math> if: ...

== Transition graph == ...eighted directed graph <math>G(V,E,w)</math> is said to be a '''transition graph''' of a finite Markov chain with transition matrix <math>P</math> if: ...

== Transition graph == ...eighted directed graph <math>G(V,E,w)</math> is said to be a '''transition graph''' of a finite Markov chain with transition matrix <math>P</math> if: ...

== Transition graph == ...eighted directed graph <math>G(V,E,w)</math> is said to be a '''transition graph''' of a finite Markov chain with transition matrix <math>P</math> if: ...

In probability theory, the '''total variation distance''' measures the difference between two pro Coupling is a powerful proof technique in probability theory. It allows us to compare two unrelated variables (or processes) by forcing ...

In probability theory, the '''total variation distance''' measures the difference between two pro Coupling is a powerful proof technique in probability theory. It allows us to compare two unrelated variables (or processes) by forcing ...

...The function ''f'' is a surjection if every horizontal line intersects the graph of ''f'' in at least one point. ...,''y'')):&#8477;&sup2;→&#8477; defined by ''z''=''y'' is a surjection. Its graph is a plane in 3-dimensional space. The pre-image of ''z''_o is t ...

...re the challenges that arise at the interface of machine learning and game theory: selfish agents may interact with machine learning algorithms strategically ...on of "fairness" in real-world applications and how to model "fairness" in theory. Then I will present several recent progress in designing algorithms that m ...