All Questions
Tagged with reference-request graph-theory
453 questions
3
votes
4
answers
367
views
Digraph intermediate connectivity
What's the name for a digraph such that for each pair of vertices $u,v$, there is either a path from $u$ to $v$ or a path from $v$ to $u$? I'd call it just connected, since this is an intermediate ...
7
votes
1
answer
1k
views
Can every finite graph be represented by an arithmetic sequence of natural numbers?
(This is a follow-up to my previous questions Natural models of graphs?.)
Erdös in The Representation of a Graph by Set Intersections (1966) states:
Theorem. Let $G$ be an arbitrary
graph. Then there ...
0
votes
1
answer
731
views
Describe a tree by junctions
I have n sectors, enumerated 0 to n-1 counterclockwise. The boundaries between these sectors are infinite branches (n of them).
These branches meet at certain points (junctions). Each junction is ...