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math.CO2010
Distance-balanced closure of some graphs
N. Ghareghani, B. Manouchehrian, M. Mohammad-Noori
In this paper we prove that any distance-balanced graph with is regular. Also we define notion of distance-balanced closure of a graph and we find distance-…
math.CO2010★ 1 cited
Enumeration of closed random walks in the square lattice according to their areas
Morteza Mohammad-Noori
We study the area distribution of closed walks of length , beginning and ending at the origin. The concept of area of a walk in the square lattice is generalized and the usefuln…