What does cocktail party graph mean?
Definitions for cocktail party graph
cock·tail party graph
This dictionary definitions page includes all the possible meanings, example usage and translations of the word cocktail party graph.
Wiktionary
cocktail party graphnoun
a graph, consisting of two rows of paired nodes in which all nodes except the paired ones are connected with straight lines; it is the complement of the ladder graph, and the dual graph of the hypercube
Wikipedia
cocktail party graph
The Turán graph, denoted by T ( n , r ) {\displaystyle T(n,r)} , is a complete multipartite graph; it is formed by partitioning a set of n {\displaystyle n} vertices into r {\displaystyle r} subsets, with sizes as equal as possible, and then connecting two vertices by an edge if and only if they belong to different subsets. Where q {\displaystyle q} and s {\displaystyle s} are the quotient and remainder of dividing n {\displaystyle n} by r {\displaystyle r} (so n = q r + s {\displaystyle n=qr+s} ), the graph is of the form K q + 1 , q + 1 , … , q , q {\displaystyle K_{q+1,q+1,\ldots ,q,q}} , and the number of edges is ( 1 − 1 r ) n 2 − s 2 2 + ( s 2 ) {\displaystyle \left(1-{\frac {1}{r}}\right){\frac {n^{2}-s^{2}}{2}}+{s \choose 2}} .The graph has s {\displaystyle s} subsets of size q + 1 {\displaystyle q+1} , and r − s {\displaystyle r-s} subsets of size q {\displaystyle q} ; each vertex has degree n − q − 1 {\displaystyle n-q-1} or n − q {\displaystyle n-q} . It is a regular graph if n {\displaystyle n} is divisible by r {\displaystyle r} (i.e. when s = 0 {\displaystyle s=0} ).
Numerology
Chaldean Numerology
The numerical value of cocktail party graph in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of cocktail party graph in Pythagorean Numerology is: 6
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"cocktail party graph." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/cocktail+party+graph>.
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