Title of article :
Graphs with the n-e.c. adjacency property constructed from affine planes Original Research Article
Author/Authors :
C.A. Baker، نويسنده , , Anthony Bonato، نويسنده , , Julia M. Nowlin Brown، نويسنده , , Tam?s Sz?nyi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Abstract :
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 image. We give a new construction, using switching, of an exponential number of non-isomorphic n-e.c. graphs for certain orders.
Keywords :
Graph , Geometry , Adjacency property , switching , Affine plane , n-e.c. graph
Journal title :
Discrete Mathematics
Journal title :
Discrete Mathematics