The exponent of a vertex v in a two‐colored digraph D (2) is the smallest positive integer h+k such that for each vertex x in D (2) there is a walk of length h+k consisting of h red arcs and k blue arcs. Let D (2) be a primitive two‐colored extremalministrong digraphon n vertices. If D (2) has one blue arc, the exponent of the vertices of D (2) lieson the interval (n 2 -5n+8,n 2 -3n+1). If D (2) has two blue arcs, the exponent of the vertices in D (2) lies on the interval (n 2 -4n+4,n 2 -n).
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VERTEX EXPONENTS OF TWO‐COLORED EXTREMAL MINISTRONG DIGRAPHS
Suwilo, Saib
Follow AIP Conference Proceedings
, Volume 1337 (1)
American Institute of Physics – Jun 20, 2011
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