Duality on hypermaps with symmetric or alternating monodromy group

Details Duality on hypermaps with symmetric or alternating monodromy group Duality on hypermaps with symmetric or alternating monodromy group

2011-01-24

arxiv.org/abs/1101.4621v1

Mathematics

Combinatorics

12 pages

Scientific paper

Duality is the operation that interchanges hypervertices and hyperfaces on oriented hypermaps. The duality index measures how far a hypermap is from being self-dual. We say that an oriented regular hypermap has \emph{duality-type} $\{l,n\}$ if $l$ is the valency of its vertices and $n$ is the valency of its faces. Here, we study some properties of this duality index in oriented regular hypermaps and we prove that for each pair $n$, $l \in \mathbb{N}$, with $n,l \geq 2$, it is possible to find an oriented regular hypermap with extreme duality index and of duality-type $\{l,n \}$, even if we are restricted to hypermaps with alternating or symmetric monodromy group.

Affiliated with

Also associated with

No associations

Rating

Duality on hypermaps with symmetric or alternating monodromy group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Duality on hypermaps with symmetric or alternating monodromy group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality on hypermaps with symmetric or alternating monodromy group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638393