Longest (s, t)-paths in L-shaped grid graphs

被引：3

作者：

Keshavarz-Kohjerdi, Fatemeh ^{[1
]}

Bagheri, Alireza ^{[2
]}

机构：

[1] Shahed Univ, Dept Comp Sci, Tehran, Iran

[2] Amirkabir Univ Technol, Dept Comp Engn & IT, Tehran, Iran

来源：

OPTIMIZATION METHODS & SOFTWARE | 2019年 / 34卷 / 04期

关键词：

grid graph; Hamiltonian path; L-shaped grid graph; longest path; FINDING HAMILTONIAN (S; LINEAR-TIME ALGORITHM; PATHS; CYCLES;

D O I：

10.1080/10556788.2018.1460665

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The longest path problem, that is, finding a simple path with the maximum number of vertices, is a well-known NP-hard problem with many applications. However, for some classes of graphs, including solid grid graphs and grid graphs with some holes, it is open. An L-shaped grid graph is a special kind of a rectangular grid graph with a rectangular hole. In this paper, we show that a longest path between two given vertices s and t of an L-shaped grid graph can be computed in linear time.

引用

页码：797 / 826

页数：30

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