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math.CO2018
On the status sequences of trees
Aida Abiad, Boris Brimkov, Alexander Grigoriev
The status of a vertex in a connected graph is the sum of the distances from to all other vertices. The status sequence of a connected graph is the list of the statuses of…
math.CO2013
Nearly Planar Graphs and λ-flat Graphs
Alexander Grigoriev, Athanassios Koutsonas, Dimitrios M. Thilikos
A graph G is ξ-nearly planar if it can be embedded in the sphere so that each of its edges is crossed at most ξ times. The family of ξ-nearly planar graphs is widely extending the…