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  2. Factor graph - Wikipedia

    en.wikipedia.org/wiki/Factor_graph

    A factor graph is a bipartite graph representing the factorization of a function. In probability theory and its applications, factor graphs are used to represent factorization of a probability distribution function , enabling efficient computations, such as the computation of marginal distributions through the sum–product algorithm .

  3. Graph factorization - Wikipedia

    en.wikipedia.org/wiki/Graph_factorization

    A k-factor of a graph is a spanning k-regular subgraph, and a k-factorization partitions the edges of the graph into disjoint k-factors. A graph G is said to be k-factorable if it admits a k-factorization. In particular, a 1-factor is a perfect matching, and a 1-factorization of a k-regular graph is a proper edge coloring with k colors. A 2 ...

  4. 2-factor theorem - Wikipedia

    en.wikipedia.org/wiki/2-factor_theorem

    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} .

  5. Graphical model - Wikipedia

    en.wikipedia.org/wiki/Graphical_model

    A factor graph is an undirected bipartite graph connecting variables and factors. Each factor represents a function over the variables it is connected to. This is a helpful representation for understanding and implementing belief propagation. A clique tree or junction tree is a tree of cliques, used in the junction tree algorithm.

  6. Factor-critical graph - Wikipedia

    en.wikipedia.org/wiki/Factor-critical_graph

    A graph is said to be k-factor-critical if every subset of n − k vertices has a perfect matching. Under this definition, a hypomatchable graph is 1-factor-critical. [13] Even more generally, a graph is (a,b)-factor-critical if every subset of n − k vertices has an r-factor, that is, it is the vertex set of an r-regular subgraph of the given ...

  7. Walking This Much Could Add 11 Years To Your Life - AOL

    www.aol.com/lifestyle/walking-much-could-add-11...

    "Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." Walking can help improve your bone density, mobility, and even your mood. Now, new research finds ...

  8. These 8 viral social media posts capture the Election Day vibes

    www.aol.com/news/8-viral-social-media-posts...

    After months of campaigning by Kamala Harris and Donald Trump, voters cast their ballots and are now anxiously awaiting poll results.

  9. 5 of the top sources of foodborne illness and how to prevent it

    www.aol.com/5-top-sources-foodborne-illness...

    Amid the ongoing McDonald's E. coli investigation, Fox News Digital spoke with several food safety experts about the most prevalent foodborne illnesses and how to prevent them.