most citedExploring Simple Triangular and Hexagonal Grid Polygons Online

5 citations · 10 across the 6 of their papers we have counts for

collaborators

6 papers

cs.DS20111 cited

Maintaining Arrays of Contiguous Objects

Michael A. Bender, Sándor P. Fekete, Tom Kamphans +1

In this paper we consider methods for dynamically storing a set of different objects ("modules") in a physical array. Each module requires one free contiguous subinterval in order…

cs.CG2010

Optimal competitive online ray search with an error-prone robot

Tom Kamphans, Elmar Langetepe

We consider the problem of finding a door along a wall with a blind robot that neither knows the distance to the door nor the direction towards of the door. This problem can be sol…

cs.CG20105 cited

Exploring Simple Triangular and Hexagonal Grid Polygons Online

Daniel Herrmann, Tom Kamphans, Elmar Langetepe

We investigate the online exploration problem (aka covering) of a short-sighted mobile robot moving in an unknown cellular environment with hexagons and triangles as types of cells…

cs.CG20101 cited

Exploring Grid Polygons Online

Christian Icking, Tom Kamphans, Rolf Klein +1

We investigate the exploration problem of a short-sighted mobile robot moving in an unknown cellular room. To explore a cell, the robot must enter it. Once inside, the robot knows…

cs.DS20103 cited

Shortest Paths with Pairwise-Distinct Edge Labels: Finding Biochemical Pathways in Metabolic Networks

Sandor Fekete, Tom Kamphans, Michael Stelzer

A problem studied in Systems Biology is how to find shortest paths in metabolic networks. Unfortunately, simple (i.e., graph theoretic) shortest paths do not properly reflect bioch…

cs.DS2010

Online Square Packing

Sandor P. Fekete, Tom Kamphans, Nils Schweer

We analyze the problem of packing squares in an online fashion: Given a semi-infinite strip of width 1 and an unknown sequence of squares of side length in [0,1] that arrive from a…