Skip to main content

Timeline for "Antipodal" maps on regular graphs?

Current License: CC BY-SA 3.0

9 events
when toggle format what by license comment
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Sep 29, 2011 at 20:04 answer added Alain Valette timeline score: 1
May 12, 2011 at 15:54 answer added Roland Bacher timeline score: 4
May 12, 2011 at 15:34 vote accept Alain Valette
May 12, 2011 at 12:43 comment added Roland Bacher The case $D=2$ is equivalent to question mathoverflow.net/questions/64770/…, motivated by my failure to find a small counterexample.
May 12, 2011 at 8:36 comment added Roland Bacher This question can be reformulated as follows: given a regular graph $A$ of diameter $D$ such that every vertex of $A$ is at distance $D$ from some other vertex, we construct a new graph $B$ with the same vertices as $A$ and with edges corresponding to vertices at distance $D$ in $A$. Can we always find a collection of disjoint edges and cycles in $B$ which contain all vertices?
May 12, 2011 at 6:38 answer added Gerhard Paseman timeline score: 5
May 12, 2011 at 6:32 comment added Clinton Conley For your parenthetical subquestion, it appears to me that this condition is the same the graph's radius equaling its diameter.
May 12, 2011 at 5:19 history asked Alain Valette CC BY-SA 3.0