124628297
On the non-existence of a type of regular graphs of girth $5$
121671285
Enumeration of non-separable planar maps
119546603
On the enumeration of non-planar maps
122388919
Enumeration of quadrangular dissections of the disk
15472643
On Hamiltonian Regular Graphs of Girth Six
121690558
On a hierarchy of generalized diagonal dominance properties for complex matrices
ABSTRACT. This article concerns dominance conditions for an nXm matrix. In the simplest kind of dominance, the (absolute) value of the diagonal element exceeds the sum of the absolute values of the nondiagonal elements on the same row. This condition has been generalized in the literature in several ways, of which we consider ways in which the rows of the matrix cooperate. Our work amounts to a sorting out of certain dominance conditions that belong to a class e of dominance conditions. We prove a theorem characterizing all true statements of the form
123473446
Hesse's theorem for a quadrilateral whose sides touch a conic