most citedSome results on (a:b)-choosability

7 citations · 12 across the 7 of their papers we have counts for

collaborators

7 papers

cs.DS2008★ 1 cited

Linear Time Algorithms for Finding a Dominating Set of Fixed Size in Degenerated Graphs

Noga Alon, Shai Gutner

There is substantial literature dealing with fixed parameter algorithms for the dominating set problem on various families of graphs. In this paper, we give a time al…

cs.DS2008★ 1 cited

Balanced Families of Perfect Hash Functions and Their Applications

Noga Alon, Shai Gutner

The construction of perfect hash functions is a well-studied topic. In this paper, this concept is generalized with the following definition. We say that a family of functions from…

cs.DS2008

Truthful Unsplittable Flow for Large Capacity Networks

Yossi Azar, Iftah Gamzu, Shai Gutner

In this paper, we focus our attention on the large capacities unsplittable flow problem in a game theoretic setting. In this setting, there are selfish agents, which control some o…

cs.DS2008

Admission Control to Minimize Rejections and Online Set Cover with Repetitions

Noga Alon, Yossi Azar, Shai Gutner

We study the admission control problem in general networks. Communication requests arrive over time, and the online algorithm accepts or rejects each request while maintaining the…

cs.DM2008

The complexity of planar graph choosability

Shai Gutner

A graph is {\em -choosable} if for every assignment of a set of colors to every vertex of , there is a proper coloring of that assigns to each vertex $…

cs.DM2008★ 3 cited

Choice numbers of graphs

Shai Gutner

A solution to a problem of Erdős, Rubin and Taylor is obtained by showing that if a graph is -choosable, and , then is not necessarily -choosable.…