Search results
Results from the WOW.Com Content Network
In the mathematical discipline of graph theory, the 2-factor theorem, discovered by Julius Petersen, is one of the earliest works in graph theory. It can be stated as follows: [ 1 ] Let G {\displaystyle G} be a regular graph whose degree is an even number, 2 k {\displaystyle 2k} .
A 2-factor is a collection of disjoint cycles that ... The 1-factorization of complete graphs is a special case of Baranyai's theorem concerning the 1-factorization ...
Two problems where the factor theorem is commonly applied are those of factoring a polynomial and finding the roots of a polynomial equation; it is a direct consequence of the theorem that these problems are essentially equivalent.
By orienting the 2-factor, the edges of the perfect matching can be extended to paths of length three, say by taking the outward-oriented edges. This shows that every cubic, bridgeless graph decomposes into edge-disjoint paths of length three. [2] Petersen's theorem can also be applied to show that every maximal planar graph can be decomposed ...
2-factor theorem; A. Alspach's conjecture; B. Balinski's theorem; ... Grinberg's theorem; Grötzsch's theorem; H. Hall-type theorems for hypergraphs; Hall's marriage ...
2-factor theorem (graph theory) Abel's binomial theorem (combinatorics) Alspach's theorem (graph theory) Aztec diamond theorem (combinatorics) BEST theorem (graph theory) Baranyai's theorem (combinatorics) Berge's theorem (graph theory) Binomial theorem (algebra, combinatorics) Bondy's theorem (graph theory, combinatorics) Bondy–Chvátal ...
Depression is primarily a human condition described by the World Health Organization as a low mood or loss of pleasure or interest in activities for long periods of time. In people, it results ...
Start with division by 2: the number is even, and n = 2 · 693. Continue with 693, and 2 as a first divisor candidate. 693 is odd (2 is not a divisor), but is a multiple of 3: one has 693 = 3 · 231 and n = 2 · 3 · 231. Continue with 231, and 3 as a first divisor candidate. 231 is also a multiple of 3: one has 231 = 3 · 77, and thus n = 2 ...