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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.

11 votes
1 answer
434 views

(almost) statistical independence of nodes degrees in a graph

Wireless networks are typically modeled as random geometric graphs. The number of nodes $N$ in the network is drawn from a Poisson distribution with intensity $\lambda$ $$P(N = n) = \frac{\lambda^n …
zzzbbx's user avatar
  • 241
2 votes
1 answer
491 views

$k$-connectivity of a geometric random graph

Is there any result that relates the minimum degree of a geometric random graph to its k-vertex connectivity? I read papers where they pose the condition $$d_{\rm min} \geq k$$ to imply that the graph …
zzzbbx's user avatar
  • 241
2 votes
2 answers
404 views

Multigraphs and Social Network Analysis

I am interested about Social Network Analysis (SNA) with multiple links between pairs of nodes. I'm not aware of works in this area, and I am trying to find any reference in these regards. In parti …
zzzbbx's user avatar
  • 241