activity
20062011
most citedHow good is the Warnsdorff's knight's tour heuristic?

1 citations · 2 across the 5 of their papers we have counts for

collaborators

6 papers

physics.hist-ph2011

Yang-Mills and Beyond

Samuel Marateck

In their 1954 paper, Yang and Mills invented the non-Abelian field strength to satisfy certain criteria but didn't explain how it could be derived. In the penultimate section we sh…

math.HO2009

Another look at e

Samuel L. Marateck

This note describes a way of obtaining e that differs from the standard one. It could be used as an alternate way of showing how the value of e is obtained. No attempt is made to s…

cs.DM2008★ 1 cited

How good is the Warnsdorff's knight's tour heuristic?

Samuel L. Marateck

Warnsdorffs rule for a knights tour is a heuristic, i.e., it is a rule that does not produce the desired result all the time. It is a classic example of a greedy method in that it…

math-ph2007

The Yang-Mills field strength revisited

Samuel L. Marateck

The Yang-Mills field strength incorporating a non-Abelian feature is one of the cornerstones of the standard model. Although Yang-Mills gauge theories have been around for over fif…

physics.hist-ph2006

Yang-Mills redux

Samuel L. Marateck

It is noted that a given pairing of the phase factor and gauge transformation to retain gauge symmetry is not unique. In their seminal paper, when Yang and Mills (YM) discuss the p…

physics.hist-ph2006★ 1 cited

The Differential Geometry and Physical Basis for the Applications of Feynman Diagrams

Samuel Marateck

This paper recalls the development of gauge theory culminating in Yang-Mills theory, and the application of differential geometry including connections on fiber bundles to field th…