Search results
Results From The WOW.Com Content Network
In graph theory, the handshaking lemma is the statement that, in every finite undirected graph, the number of vertices that touch an odd number of edges is even. For example, if there is a party of people who shake hands, the number of people who shake an odd number of other people's hands is even. [ 1 ]
The formula implies that in any undirected graph, the number of vertices with odd degree is even. This statement (as well as the degree sum formula) is known as the handshaking lemma. The latter name comes from a popular mathematical problem, which is to prove that in any group of people, the number of people who have shaken hands with an odd ...
In more colloquial terms, in a party of people some of whom shake hands, an even number of people must have shaken an odd number of other people's hands; for this reason, the result is known as the handshaking lemma. To prove this by double counting, let () be the degree of vertex . The number of vertex-edge incidences in the graph may be ...
This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms , list of theorems and list of conjectures .
Similarly, the hypergraph counting lemma is a generalization of the graph counting lemma that estimates number of copies of a fixed graph as a subgraph of a larger graph. There are several distinct formulations of the method, all of which imply the hypergraph removal lemma and a number of other powerful results, such as Szemerédi's theorem ...
Republic of Philippines v. Pimentel , [ note 1 ] 553 U.S. 851 (2008), is a decision of the Supreme Court of the United States which clarified the Federal Rules of Civil Procedure as regards money damages sought by a foreign government, the Republic of the Philippines , via its Presidential Commission on Good Government (PCGG).
The Huffington Post spoke with psychology professors about what this may mean. Florin Dolcos, a University of Illinois associate psychology professor and faculty member at the Beckman Institute's ...
Handshake may also refer to: Handshake (computing), a computing term related to automated communication between two computing devices or programs [disputed (for: There are many other types of handshaking in computing.) – discuss] Handshake deal, another term for an oral contract; Handshaking lemma, a specific statement in graph theory