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Results tagged with graph-theory
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user 34435
Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.
2
votes
autonomous algorithm to find a walk that covers all nodes in a graph (effective when startin...
The 2 papers below show that the expected efficiency of the method of simply running a random walk on your graph, until the $n$ nodes are covered, ranges from $n\ln n$ steps on a nice graph like the c …
- 456
5
votes
Accepted
Counting graphs up to isomorphism
For question 1, I believe you refer to unordered trees, for which a summary of the available information is given page 4 of "The CRT is the scaling limit of unordered binary trees" by Marckert and Mie …
- 456
2
votes
Random graphs require O(n log(n)) edges until they are almost certainly fully connected - wh...
according to the double exponential theorem of Erdos and Renyi, I would say that you need to add $(n \ln n)/2 + n Z_n /2$ edges in which $Z_n$ is a random variable that converges in distribution to th …
- 456