2 research outputs found
Hypomorphisms, orbits, and reconstruction
AbstractGraphs G and H are hypomorphic if there is a bijection Ο: V(G) β V(H) such that G β u β
H β Ο(u), for all u β V(G). The reconstruction conjecture states that hypomorphic graphs are isomorphic, if G has at least three vertices. We investigate properties of the isomorphisms G β u β
H β Ο(u), and their relation to the reconstructibility of G