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27 relations: Algorithmic game theory, Annales de l'Institut Fourier, Cedric Smith (statistician), Complexity class, Computational complexity theory, Cubic graph, Degree (graph theory), Double counting (proof technique), Glossary of graph theory terms, Graph (discrete mathematics), Graph theory, Hamiltonian path, Implicit graph, Mathematical induction, Mountain climbing problem, Nash equilibrium, Parity (mathematics), Path graph, PPA (complexity), PPAD (complexity), Proof by exhaustion, Regular graph, Seven Bridges of Königsberg, Sperner's lemma, Symmetric relation, Symposium on Foundations of Computer Science, Vertex (graph theory).
Algorithmic game theory
Algorithmic game theory is an area in the intersection of game theory and computer science, whose objective is to understand and design algorithms in strategic environments.
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Annales de l'Institut Fourier
The Annales de l'Institut Fourier is a French mathematical journal publishing papers in all fields of mathematics.
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Cedric Smith (statistician)
Cedric Austen Bardell Smith (5 February 1917 – 10 January 2002) was a British statistician and geneticist.
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Complexity class
In computational complexity theory, a complexity class is a set of problems of related resource-based complexity.
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Computational complexity theory
Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.
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Cubic graph
In the mathematical field of graph theory, a cubic graph is a graph in which all vertices have degree three.
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Degree (graph theory)
In graph theory, the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex, with loops counted twice.
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Double counting (proof technique)
In combinatorics, double counting, also called counting in two ways, is a combinatorial proof technique for showing that two expressions are equal by demonstrating that they are two ways of counting the size of one set.
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Glossary of graph theory terms
This is a glossary of graph theory terms.
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Graph (discrete mathematics)
In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
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Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
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Hamiltonian path
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once.
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Implicit graph
In the study of graph algorithms, an implicit graph representation (or more simply implicit graph) is a graph whose vertices or edges are not represented as explicit objects in a computer's memory, but rather are determined algorithmically from some more concise input.
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Mathematical induction
Mathematical induction is a mathematical proof technique.
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Mountain climbing problem
In mathematics, the mountain climbing problem is a problem of finding the conditions that two functions forming profiles of a two-dimensional mountain must satisfy, so that two climbers can start on the bottom on the opposite sides of the mountain and coordinate their movements to meet (possibly at the top) while always staying at the same height.
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Nash equilibrium
In game theory, the Nash equilibrium, named after American mathematician John Forbes Nash Jr., is a solution concept of a non-cooperative game involving two or more players in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy.
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Parity (mathematics)
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
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Path graph
In the mathematical field of graph theory, a path graph or linear graph is a graph whose vertices can be listed in the order v1, v2, …, vn such that the edges are where i.
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PPA (complexity)
In computational complexity theory, PPA is a complexity class, standing for "Polynomial Parity Argument" (on a graph).
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PPAD (complexity)
In computer science, PPAD ("Polynomial Parity Arguments on Directed graphs") is a complexity class introduced by Christos Papadimitriou in 1994.
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Proof by exhaustion
Proof by exhaustion, also known as proof by cases, proof by case analysis, complete induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases or sets of equivalent cases and each type of case is checked to see if the proposition in question holds.
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Regular graph
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency.
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Seven Bridges of Königsberg
The Seven Bridges of Königsberg is a historically notable problem in mathematics.
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Sperner's lemma
In mathematics, Sperner's lemma is a combinatorial analog of the Brouwer fixed point theorem, which is equivalent to it.
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Symmetric relation
In mathematics and other areas, a binary relation R over a set X is symmetric if it holds for all a and b in X that a is related to b if and only if b is related to a. In mathematical notation, this is: Symmetry, along with reflexivity and transitivity, are the three defining properties of an equivalence relation.
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Symposium on Foundations of Computer Science
The IEEE Annual Symposium on Foundations of Computer Science (FOCS) is an academic conference in the field of theoretical computer science.
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Vertex (graph theory)
In mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices).
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References
[1] https://en.wikipedia.org/wiki/Handshaking_lemma
