Difference between revisions of "Talk:Graph (graph theory)"

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Things that need to be added to this article:
 
Things that need to be added to this article:
 
* <s>A proper definition of a graph.  ("Formally, a graph <math>G</math> is a pair, <math>G = (V, E)</math>, of a set <math>V</math> of vertices together with a subset <math>E</math> of pairs of members of <math>V</math>.")</s> '''Done'''
 
* <s>A proper definition of a graph.  ("Formally, a graph <math>G</math> is a pair, <math>G = (V, E)</math>, of a set <math>V</math> of vertices together with a subset <math>E</math> of pairs of members of <math>V</math>.")</s> '''Done'''
* Directed graphs, multigraphs, loopless graphs, simple graphs, and the distinctions between these.
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* [[Directed graph]]s, [[multigraph]]s, <s>loopless graphs, simple graphs, and the distinctions between these.</s>
* "Path," "tree," "forest," "circuit" or "cycle," "Hamiltonian path" (and circuit and cycle), etc.
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* <s>"Path,"</s> "tree," "forest," <s>"circuit" or "cycle,"</s> "Hamiltonian path" (and circuit and cycle), etc.
 
* To distinguish between a formal graph (a pair of two sets) and a geometric realization of a graph.
 
* To distinguish between a formal graph (a pair of two sets) and a geometric realization of a graph.
 
* Most of these words deserve their own page and so should be linked to.
 
* Most of these words deserve their own page and so should be linked to.
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:The words that deserve their own page will be created eventually. For now, I'll just focus on integrating them into the article. I already defined path and cycle... I'll put a definition for tree in there, but I'm afraid that I don't know what some of the terms mean. [[User:Temperal|Temperal]]<span style="color:red"><small><sup>[[User Talk:Temperal|xy]]</sup></small></span> 13:09, 4 January 2008 (EST)
 
:The words that deserve their own page will be created eventually. For now, I'll just focus on integrating them into the article. I already defined path and cycle... I'll put a definition for tree in there, but I'm afraid that I don't know what some of the terms mean. [[User:Temperal|Temperal]]<span style="color:red"><small><sup>[[User Talk:Temperal|xy]]</sup></small></span> 13:09, 4 January 2008 (EST)
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:: Thanks.  I'll continue to make some of the satellite pages and add to this one.  --[[User:JBL|JBL]] 12:04, 11 January 2008 (EST)

Revision as of 12:04, 11 January 2008

AoPSWiki Words of the Week for December 6-12
Previous week
William Lowell Putnam Mathematical Competition
Diophantine equation
Current week
Graph (graph theory)
Carl Friedrich Gauss
Next week
Euclidean algorithm
Euclid

Things that need to be added to this article:

  • A proper definition of a graph. ("Formally, a graph $G$ is a pair, $G = (V, E)$, of a set $V$ of vertices together with a subset $E$ of pairs of members of $V$.") Done
  • Directed graphs, multigraphs, loopless graphs, simple graphs, and the distinctions between these.
  • "Path," "tree," "forest," "circuit" or "cycle," "Hamiltonian path" (and circuit and cycle), etc.
  • To distinguish between a formal graph (a pair of two sets) and a geometric realization of a graph.
  • Most of these words deserve their own page and so should be linked to.

I would have started doing this, but the first two points together are difficult to integrate into a single intro section. Help would be appreciated. --JBL 10:20, 4 January 2008 (EST)

The words that deserve their own page will be created eventually. For now, I'll just focus on integrating them into the article. I already defined path and cycle... I'll put a definition for tree in there, but I'm afraid that I don't know what some of the terms mean. Temperalxy 13:09, 4 January 2008 (EST)
Thanks. I'll continue to make some of the satellite pages and add to this one. --JBL 12:04, 11 January 2008 (EST)