Fast Graph Exploration by a Mobile Robot

被引:3
|
作者
Kshemkalyani, Ajay D. [1 ]
Ali, Faizan [1 ]
机构
[1] Univ Illinois, Dept Comp Sci, Chicago, IL 60607 USA
关键词
Mobile robot; graph exploration; graph traversal;
D O I
10.1109/AIKE.2018.00025
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Given an undirected, anonymous, port-labeled graph of n nodes, m edges, and degree Delta, we require a mobile robot to visit all the nodes in the graph. We give two algorithms to solve this problem in O(m) time. Algorithm Robot-Memory uses O(n log Delta) bits at the robot, and 1 bit at each node. Algorithm Node-Memory uses O(log Delta) bits at each node. The algorithms Robot-Memory and Node-Memory trade-off the memory requirements at the robot and at the nodes. The algorithms are capable of perpetual exploration or patrolling, and are variants of depth-first search (DFS). The algorithms fill in existing gaps in the trade-offs between robot memory, memory at each node, and exploration time, in the body of literature on the graph exploration problem.
引用
收藏
页码:115 / 118
页数:4
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