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The Paley graph of order 13, a circulant graph formed as the Cayley graph of Z/13 with generator set {1,3,4} A Cayley graph is a graph defined from a pair ( G , S ) where G is a group and S is a set of generators for the group; it has a vertex for each group element, and an edge for each product of an element with a generator.
Chemical graph generator. A chemical graph generator is a software package to generate computer representations of chemical structures adhering to certain boundary conditions. The development of such software packages is a research topic of cheminformatics.
Another more complicated belt machine was invented in 1903 by Juan Burboa [1] [5] A more immediate inspiration for Van de Graaff was a generator W. F. G. Swann was developing in the 1920s in which charge was transported to an electrode by falling metal balls, thus returning to the principle of the Kelvin water dropper. [1] [6]
The top row shows a generator with m = 9, a = 2, c = 0, and a seed of 1, which produces a cycle of length 6. The second row is the same generator with a seed of 3, which produces a cycle of length 2. Using a = 4 and c = 1 (bottom row) gives a cycle length of 9 with any seed in [0, 8]. A linear congruential generator (LCG) is an algorithm that ...
For generators in computer programming, see Generator (computer programming). For the moment generating function in statistics, see Moment generating function. In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Unlike an ordinary series, the formal power ...
For each node set its degree to the number of times it appears in the sequence plus 1. For instance, in pseudo-code: Convert-Prüfer-to-Tree ( a ) 1 n ← length [ a ] 2 T ← a graph with n + 2 isolated nodes, numbered 1 to n + 2 3 degree ← an array of integers 4 for each node i in T do 5 degree [ i ] ← 1 6 for each value i in a do 7 ...
Cayley graph. In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, [1] is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named after Arthur Cayley ), and uses a specified set of generators for the group.
A set of graphs isomorphic to each other is called an isomorphism class of graphs. The question of whether graph isomorphism can be determined in polynomial time is a major unsolved problem in computer science, known as the graph isomorphism problem. [1] [2] The two graphs shown below are isomorphic, despite their different looking drawings.