%0 Journal Article %T On Eccentric Digraphs of Graphs %A Medha Itagi Huilgol %A Syed Asif Ulla S. %A Sunilchandra A. R. %J Applied Mathematics %P 705-710 %@ 2152-7393 %D 2011 %I Scientific Research Publishing %R 10.4236/am.2011.26093 %X The eccentricity e(u) of a vertex u is the maximum distance of u to any other vertex of G. A vertex v is an eccentric vertex of vertex u if the distance from u to v is equal to e(u). The eccentric digraph ED(G) of a graph (digraph) G is the digraph that has the same vertex as G and an arc from u to v exists in ED(G) if and only if v is an eccentric vertex of u in G. In this paper, we have considered an open problem. Partly we have characterized graphs with specified maximum degree such that ED(G) = G. %K Eccentric Vertex %K Eccentric Degree %K Eccentric Digraph %K Degree Sequence %K Eccentric Degree Sequence %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5291