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math.CO2019
Existence of regular nut graphs for degree at most 11
Patrick W. Fowler, John Baptist Gauci, Jan Goedgebeur +2
A nut graph is a singular graph with one-dimensional kernel and corresponding eigenverctor with no zero elements. The problem of determining the orders for which -regular nu…
math.CO2019
Existence of Regular Nut Graphs and the Fowler Construction
John Baptist Gauci, Tomaz Pisanski, Irene Sciriha
In this paper the problem of the existence of regular nut graphs is addressed. A generalization of Fowler's Construction which is a local enlargement applied to a vertex in a graph…