3 citations · 5 across the 8 of their papers we have counts for
6 papers · 1 filter
Edge-connectivity matrices and their spectra
Tobias Hofmann, Uwe Schwerdtfeger
The edge-connectivity matrix of a weighted graph is the matrix whose off-diagonal - entry is the weight of a minimum edge cut separating vertices and . Its computation…
Eigenvalue bounds for the signless -Laplacian
Elizandro Max Borba, Uwe Schwerdtfeger
We consider the signless -Laplacian of a graph, a generalisation of the usual signless Laplacian (the case ). We show a Perron-Frobenius property and basic inequalites for…
The Distribution of Heights of Discrete Excursions
Uwe Schwerdtfeger
We compute the limiting distribution of height of a random discrete excursion with step sets consisting of one positive step 1 and arbitrary finite set of non-positive integers. Th…
Exact solution of two classes of prudent polygons
Uwe Schwerdtfeger
Prudent walks are self-avoiding walks on the square lattice which never step into the direction of an already occupied vertex. We study the closed version of these walks, called pr…
Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams
Uwe Schwerdtfeger
We asymptotically analyse the volume-random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry clas…
Area limit laws for symmetry classes of staircase polygons
Christoph Richard, Uwe Schwerdtfeger, Bhalchandra Thatte
We derive area limit laws for the various symmetry classes of staircase polygons on the square lattice, in a uniform ensemble where, for fixed perimeter, each polygon occurs with t…