Details

Autor(en) / Beteiligte

• Baker, C.A.
• Bonato, Anthony
• Nowlin Brown, Julia M.
• Szőnyi, Tamás

Titel

Graphs with the n-e.c. adjacency property constructed from affine planes

Ist Teil von

• Discrete mathematics, 2008-03, Vol.308 (5), p.901-912

Ort / Verlag

Kidlington: Elsevier B.V

Erscheinungsjahr

2008

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We give new examples of graphs with the n-e.c. adjacency property. Few explicit families of n-e.c. graphs are known, despite the fact that almost all finite graphs are n-e.c. Our examples are collinearity graphs of certain partial planes derived from affine planes of even order. We use probabilistic and geometric techniques to construct new examples of n-e.c. graphs from partial planes for all n, and we use geometric techniques to give infinitely many new explicit examples if n = 3 . We give a new construction, using switching, of an exponential number of non-isomorphic n-e.c. graphs for certain orders.