Difference between revisions of "Complete graph"
From Encyclopedia of Mathematics
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The undirected [[graph]] on a vertex set $\{v_1,\ldots,v_n\}$ in which any two distinct vertices are joined by an edge: denoted $K_n$. | The undirected [[graph]] on a vertex set $\{v_1,\ldots,v_n\}$ in which any two distinct vertices are joined by an edge: denoted $K_n$. | ||
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| + | [[File:Complete graph K5.svg|center|200px|Complete graph K5]] | ||
A [[tournament]] is a directed graph whose underlying undirected graph is complete. | A [[tournament]] is a directed graph whose underlying undirected graph is complete. | ||
Latest revision as of 16:45, 16 March 2023
2020 Mathematics Subject Classification: Primary: 05C [MSN][ZBL]
on $n$ vertices
The undirected graph on a vertex set $\{v_1,\ldots,v_n\}$ in which any two distinct vertices are joined by an edge: denoted $K_n$.
A tournament is a directed graph whose underlying undirected graph is complete.
How to Cite This Entry:
Complete graph. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Complete_graph&oldid=52698
Complete graph. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Complete_graph&oldid=52698