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JCSS
2010
68views more  JCSS 2010»
13 years 10 months ago
Simplified proof of the blocking theorem for free-choice Petri nets
: Every cluster in a bounded and live free-choice system has a unique blocking marking. It can be reached by firing an occurrence sequence, which avoids any transition of the clust...
Joachim Wehler
COMBINATORICS
2002
89views more  COMBINATORICS 2002»
13 years 11 months ago
A Concise Proof of the Littlewood-Richardson Rule
We give a short proof of the Littlewood-Richardson rule using a sign-reversing involution.
John R. Stembridge
DAM
2007
91views more  DAM 2007»
13 years 11 months ago
A note on the precedence-constrained class sequencing problem
We give a short proof of a result of Tovey [6] on the inapproximability of a scheduling problem known as precedence constrained class sequencing. In addition, we present an approxi...
José R. Correa, Samuel Fiorini, Nicol&aacut...
COMBINATORICS
2007
73views more  COMBINATORICS 2007»
13 years 11 months ago
A Short Proof of a Theorem of Kano and Yu on Factors in Regular Graphs
In this note we present a short proof of the following result, which is a slight extension of a nice 2005 theorem by Kano and Yu. Let e be an edge of an rregular graph G. If G has...
Lutz Volkmann
CCCG
2008
14 years 29 days ago
Monochromatic simplices of any volume
We give a very short proof of the following result of Graham from 1980: For any finite coloring of Rd , d 2, and for any > 0, there is a monochromatic (d + 1)-tuple that span...
Adrian Dumitrescu, Minghui Jiang