%0 Journal Article
%T On symmetric structures of order two
%A Michel Bousquet
%A Cedric Lamathe
%J Discrete Mathematics & Theoretical Computer Science
%D 2008
%I Discrete Mathematics & Theoretical Computer Science
%X Let (¦Ø n) 0 < n be the sequence known as Integer Sequence A047749 http://www.research.att.com/ njas/sequences/A047749 In this paper, we show that the integer ¦Ø n enumerates various kinds of symmetric structures of order two. We first consider ternary trees having a reflexive symmetry and we relate all symmetric combinatorial objects by means of bijection. We then generalize the symmetric structures and correspondences to an infinite family of symmetric objects.
%U http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/1003