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» On Counting Generalized Colorings
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SODA
2007
ACM
76views Algorithms» more  SODA 2007»
13 years 9 months ago
An unbiased pointing operator for unlabeled structures, with applications to counting and sampling
We introduce a general method to count and randomly sample unlabeled combinatorial structures. The approach is based on pointing unlabeled structures in an “unbiased” way, i.e...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
RSA
2006
88views more  RSA 2006»
13 years 7 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...
COLOGNETWENTE
2009
13 years 9 months ago
Colored Trees in Edge-Colored Graphs
We consider maximum properly edge-colored trees in edge-colored graphs Gc . We also consider the problem where, given a vertex r, determine whether the graph has a spanning tree r...
A. Abouelaoualim, V. Borozan, Yannis Manoussakis, ...
TIP
2010
279views more  TIP 2010»
13 years 2 months ago
Generalized Assorted Pixel Camera: Postcapture Control of Resolution, Dynamic Range, and Spectrum
We propose the concept of a generalized assorted pixel (GAP) camera, which enables the user to capture a single image of a scene and, after the fact, control the tradeoff between s...
Fumihito Yasuma, Tomoo Mitsunaga, Daisuke Iso, Shr...
DMTCS
2008
80views Mathematics» more  DMTCS 2008»
13 years 6 months ago
Counting Descents, Rises, and Levels, with Prescribed First Element, in Words
Recently, Kitaev and Remmel [8] refined the well-known permutation statistic "descent" by fixing parity of one of the descent's numbers. Results in [8] were extende...
Sergey Kitaev, Toufik Mansour, Jeffrey B. Remmel