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 ...
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
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 ...
[a] Ramsey's theorem states that there exists a least positive integer R(r, s) for which every blue-red edge colouring of the complete graph on R(r, s) vertices contains a blue clique on r vertices or a red clique on s vertices. (Here R(r, s) signifies an integer that depends on both r and s.) Ramsey's theorem is a foundational result in ...
By Kathleen Elkins and Skye Gould In Brazil and the United States, a firm handshake is expected. This would be off putting in the UK, as the British like to greet each other with a lighter handshake.
In mathematics, pointless topology, also called point-free topology (or pointfree topology) and locale theory, is an approach to topology that avoids mentioning points, and in which the lattices of open sets are the primitive notions. [1] In this approach it becomes possible to construct topologically interesting spaces from purely algebraic ...
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 ...