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7 papers · 1 filter
Complexes of graphs with bounded matching size
Svante Linusson, John Shareshian, Volkmar Welker
For positive integers k,n, we investigate the simplicial complex NM_k(n) of all graphs G on vertex set [n] such that every matching in G has size less than k. This complex (along w…
Cover pebbling numbers and bounds for certain families of graphs
Nathaniel G. Watson, Carl R. Yerger
Given a configuration of pebbles on the vertices of a graph, a pebbling move is defined by removing two pebbles from some vertex and placing one pebble on an adjacent vertex. The c…
Torsion in the Matching Complex and Chessboard Complex
John Shareshian, Michelle L. Wachs
Topological properties of the matching complex were first studied by Bouc in connection with Quillen complexes, and topological properties of the chessboard complex were first stud…
Strong Analytic Controllability for Hydrogen Control Systems
Chunhua Lan, Tzyh-Jong Tarn, Quo-Shin Chi +1
The realization and representation of so(4,2) associated with the hydrogen atom Hamiltonian are derived. By choosing operators from the realization of so(4,2) as interacting Hamilt…
Positivity aspects of the Fantappie transform
J. E. McCarthy, Mihai Putinar
A Hilbert space approach to the classical Fantappie transform, based on the concept of Gel'fand triples of locally convex spaces, leads to a novel proof of Martineau-Aizenberg dual…
Einstein-Schrodinger theory using Newman-Penrose tetrad formalism
J. A. Shifflett
The Einstein-Schrodinger theory is modified to include a large cosmological constant caused by zero-point fluctuations. This ``extrinsic'' cosmological constant which multiplies th…