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bipartit

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The word BIPARTIT is NOT valid in any word game. (Sorry, you cannot play BIPARTIT in Scrabble, Words With Friends etc)

There are 8 letters in BIPARTIT ( A1B3I1P3R1T1 )

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Definitions of bipartit in various dictionaries:

BIPARTIT - In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent ...

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Bipartit might refer to
In the mathematical field of graph theory, a Bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets
*
*
*
* U
*
*
* {\displaystyle U}
* and
*
*
*
* V
*
*
* {\displaystyle V}
* such that every edge connects a vertex in
*
*
*
* U
*
*
* {\displaystyle U}
* to one in
*
*
*
* V
*
*
* {\displaystyle V}
* . Vertex sets
*
*
*
* U
*
*
* {\displaystyle U}
* and
*
*
*
* V
*
*
* {\displaystyle V}
* are usually called the parts of the graph. Equivalently, a bipartite graph is a graph that does not contain any odd-length cycles.The two sets
*
*
*
* U
*
*
* {\displaystyle U}
* and
*
*
*
* V
*
*
* {\displaystyle V}
* may be thought of as a coloring of the graph with two colors: if one colors all nodes in
*
*
*
* U
*
*
* {\displaystyle U}
* blue, and all nodes in
*
*
*
* V
*
*
* {\displaystyle V}
* green, each edge has endpoints of differing colors, as is required in the graph coloring problem. In contrast, such a coloring is impossible in the case of a non-bipartite graph, such as a triangle: after one node is colored blue and another green, the third vertex of the triangle is connected to vertices of both colors, preventing it from being assigned either color.
* One often writes
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* G
* =
* (
* U
* ,
* V
* ,
* E
* )
*
*
* {\displaystyle G=(U,V,E)}
* to denote a bipartite graph whose partition has the parts
*
*
*
* U
*
*
* {\displaystyle U}
* and
*
*
*
* V
*
*
* {\displaystyle V}
* , with
*
*
*
* E
*
*
* {\displaystyle E}
* denoting the edges of the graph. If a bipartite graph is not connected, it may have more than one bipartition; in this case, the
*
*
*
* (
* U
* ,
* V
* ,
* E
* )
*
*
* {\displaystyle (U,V,E)}
* notation is helpful in specifying one particular bipartition that may be of importance in an application. If
*
*
*
*
* |
*
* U
*
* |
*
* =
*
* |
*
* V
*
* |
*
*
*
* {\displaystyle |U|=|V|}
* , that is, if the two subsets have equal cardinality, then
*
*
*
* G
*
*
* {\displaystyle G}
* is called a balanced bipartite graph. If all vertices on the same side of the bipartition have the same degree, then
*
*
*
* G
*
*
* {\displaystyle G}
* is called biregular.
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