881 citations
- Lawrence Berkeley National LaboratoryUS3 papers
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14 papers · 1 filter
Peculiar velocities in the Zone of Avoidance: Determining the Distance to the Norma cluster
P. A. Woudt, A. P. Fairall, R. C. Kraan-Korteweg +4
Deep J, H and Ks photometry of the low Galactic latitude Norma cluster has been obtained with the 1.4-m Infrared Survey Facility (IRSF) and with SOFI on the NTT. Together with spec…
An application of graph pebbling to zero-sum sequences in abelian groups
Shawn Elldge, Glenn H. Hurlbert
A sequence of elements of a finite group G is called a zero-sum sequence if it sums to the identity of G. The study of zero-sum sequences has a long history with many important app…
Lucas sequences whose 8th term is a square
Andrew Bremner, Nikos Tzanakis
Let P and Q be non-zero integers. The Lucas sequence U_n(P,Q), n=0,1,2,... is defined by U_0=0, U_1=1, U_n= P U_{n-1}-Q U_{n-2} for n>1. For each positive integer n<8 we describe a…
The Cover Pebbling Number of Graphs
Betsy Crull, Tammy Cundiff, Paul Feltman +4
A pebbling move on a graph consists of taking two pebbles off of one vertex and placing one pebble on an adjacent vertex. In the traditional pebbling problem we try to reach a spec…
Girth, Pebbling, and Grid Thresholds
Andrzej Czygrinow, Glenn Hurlbert
In this note we answer a question of Hurlbert about pebbling in graphs of high girth. Specifically we show that for every g there is a Class 0 graph of girth at least g. The proof…
Pebbling in Dense Graphs
Andrzej Czygrinow, Glenn Hurlbert
A configuration of pebbles on the vertices of a graph is solvable if one can place a pebble on any given root vertex via a sequence of pebbling steps. The pebbling number of a grap…