287 research outputs found
Bounding right-arm rotation distances
Rotation distance measures the difference in shape between binary trees of
the same size by counting the minimum number of rotations needed to transform
one tree to the other. We describe several types of rotation distance where
restrictions are put on the locations where rotations are permitted, and
provide upper bounds on distances between trees with a fixed number of nodes
with respect to several families of these restrictions. These bounds are sharp
in a certain asymptotic sense and are obtained by relating each restricted
rotation distance to the word length of elements of Thompson's group F with
respect to different generating sets, including both finite and infinite
generating sets.Comment: 30 pages, 11 figures. This revised version corrects some typos and
has some clearer proofs of the results for the lower bounds and better
figure
The Union County Economic and Workforce Competitiveness Project
This report is intended to assist Union County officials and their partners to develop an economic growth and workforce development strategy for the county that is informed by an analysis of available labor market information, input from various experts in the region's economy and future development plans, and other relevant data
Thompson's group F is not almost convex
We show that Thompson's group F does not satisfy Cannon's almost convexity
condition AC(n) for any integer n in the standard finite two generator
presentation. To accomplish this, we construct a family of pairs of elements at
distance n from the identity and distance 2 from each other, which are not
connected by a path lying inside the n-ball of length less than k for
increasingly large k. Our techniques rely upon Fordham's method for calculating
the length of a word in F and upon an analysis of the generators' geometric
actions on the tree pair diagrams representing elements of F.Comment: 19 pages, 7 figure
Preparing the Workforce for a "Green Jobs" Economy
Identifies the types of jobs and skills that will be in demand in clean energy economy and the factors that are driving the new energy economy and the growth of its workforce. Also considers strategies for building competitive, flexible workforce systems that can respond to emerging employer needs and highlights best practices occurring around the nation
Understanding the Workforce Needs of New Jersey's Retail Industry
Explores the changing skill and education needs of the modern retail workplace. Identifies key skills employers require and the jobs for which employers report the most difficulty finding and keeping skilled workers
Understanding the Workforce Needs of New Jersey's Public Health and Other Disaster Management Employers
This report explores the priority workforce needs of New Jersey's public disaster management system. An advisory group of disaster management-related employers from law enforcement and state and local public health systems and educational institutions was convened in the spring of 2006 to identify priority workforce skill needs. Researchers also conducted interviews with state officials, domestic security, public health, and disaster planning experts, as well as reviews of labor market information, state and national websites, and industry and scholarly literature
Understanding the Workforce Needs of Employers Supporting the Operation of Port Newark and the Elizabeth Marine Terminal
Explores the major trends that are affecting the workforce and skill needs of employers that support Port Newark/Elizabeth as well as the priority skill needs these employers have
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