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Results tagged with graph-theory
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user 85130
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.
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Accepted
Intersection number of the tensor product of graphs
So first, let's get a few problems out of the way, using that the intersection number is the smallest number of cliques needed to cover all edges of the graph.
For all $n$, $i(K_n) = 1$.
Next, we have …
- 219
0
votes
Which graphs are elementarily equivalent to their own disjoint sums?
It's a fairly old question, but I think I have the answer for graphs.
Let's define some notations, based on John Goodrick's answer.
Everything below can be formalized by Ehrenfeucht–Fraïssé games, but …
- 219
2
votes
What are some useful invariants for distinguishing between random graph models?
It really depends on your applications/goals, and the graphs you consider.
Do you want to compare graph sequences or graphs of a fixed size?
First let's consider sequences.
The problem with propert …
- 219
1
vote
Zero-one law in binomial random graph model $G(n,p)$
I'm not an expert on that specific question, and it's certainly the most difficult regime of $\mathcal{G}(n,p)$ to understand, so I'll just show the path.
First, the question can be generalized as $p …
- 219