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SIAMDM
2010
105views more  SIAMDM 2010»
12 years 11 months ago
A Lower Bound on the Transposition Diameter
Sorting permutations by transpositions is an important and difficult problem in genome rearrangements. The transposition diameter TD(n) is the maximum transposition distance among ...
Linyuan Lu, Yiting Yang
SIAMDM
2010
89views more  SIAMDM 2010»
12 years 11 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
SIAMDM
2010
167views more  SIAMDM 2010»
12 years 11 months ago
Domination Game and an Imagination Strategy
The domination game played on a graph G consists of two players, Dominator and Staller who alternate taking turns choosing a vertex from G such that whenever a vertex is chosen by...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
SIAMDM
2010
64views more  SIAMDM 2010»
12 years 11 months ago
Mixed Statistics on 01-Fillings of Moon Polyominoes
We establish a stronger symmetry between the numbers of northeast and southeast chains in the context of 01-fillings of moon polyominoes. Let M be a moon polyomino with n rows and...
William Y. C. Chen, Andrew Y. Z. Wang, Catherine H...
SIAMDM
2010
101views more  SIAMDM 2010»
12 years 11 months ago
Rationality and Strongly Polynomial Solvability of Eisenberg--Gale Markets with Two Agents
Inspired by the convex program of Eisenberg and Gale which captures Fisher markets with linear utilities, Jain and Vazirani [STOC, 2007] introduced the class of EisenbergGale (EG)...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....
SIAMDM
2010
95views more  SIAMDM 2010»
12 years 11 months ago
Flips in Graphs
Tom Bohman, Andrzej Dudek, Alan M. Frieze, Oleg Pi...
SIAMDM
2010
111views more  SIAMDM 2010»
12 years 11 months ago
Random Walks with Look-Ahead in Scale-Free Random Graphs
If m 2 is constant and 0 r log log n for a small positive constant , then whp a random walk with look-ahead r on a scale-free graph G = G(m, n) has cover time CG(r) (2/(mr-1(...
Colin Cooper, Alan M. Frieze
SIAMDM
2010
194views more  SIAMDM 2010»
12 years 11 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
SIAMDM
2010
131views more  SIAMDM 2010»
12 years 11 months ago
On Optimal Strategies for a Hat Game on Graphs
The following problem was introduced by Marcin Krzywkowski as a generalization of a problem of Todd Ebert. After initially coordinating a strategy, n players each occupy a differe...
Uriel Feige
SIAMDM
2010
99views more  SIAMDM 2010»
12 years 11 months ago
On the Stable Paths Problem
The Border Gateway Protocol (BGP) is the interdomain routing protocol used to exchange routing information between Autonomous Systems (ASes) in the internet today. While intradoma...
Penny E. Haxell, Gordon T. Wilfong