scholarly journals Archimedean tiling graphs with Gallai’s property

2017 ◽  
Vol 25 (2) ◽  
pp. 185-199
Author(s):  
Zhikui Chang ◽  
Liping Yuan
Keyword(s):  
Longest Path ◽  
Archimedean Tiling

AbstractGallai in 1966 raised the question about the existence of graphs with the property that every vertex is missed by some longest path. This property will be called Gallai’s property. In this paper we present some graphs embeddable into Archimedean tiling graphs, with both connectivity 1 and 2, satisfying Gallai’s property.

scholarly journals A linear-time algorithm for the longest path problem in rectangular grid graphs

2012 ◽  
Vol 160 (3) ◽  
pp. 210-217 ◽  
Author(s):  
Fatemeh Keshavarz-Kohjerdi ◽  
Alireza Bagheri ◽  
Asghar Asgharian-Sardroud
Keyword(s):  
Linear Time ◽  
Time Algorithm ◽  
Linear Time Algorithm ◽  
Rectangular Grid ◽  
Grid Graphs ◽  
Longest Path ◽  
Longest Path Problem

scholarly journals Irregular model DNA particles self-assemble into a regular structure

Soft Matter ◽  
2017 ◽  
Vol 13 (47) ◽  
pp. 8894-8902 ◽  
Author(s):  
Zdeněk Preisler ◽  
Barbara Saccà ◽  
Stephen Whitelam
Keyword(s):  
Regular Structure ◽  
Dna Nanoparticles ◽  
Archimedean Tiling

DNA nanoparticles with three-fold coordination have been observed to self-assemble in experiment into a network equivalent to the hexagonal (6.6.6) tiling, and a network equivalent to the 4.8.8 Archimedean tiling.

scholarly journals Polynomial fixed-parameter algorithms: A case study for longest path on interval graphs

2017 ◽  
Vol 689 ◽  
pp. 67-95 ◽  
Author(s):  
Archontia C. Giannopoulou ◽  
George B. Mertzios ◽  
Rolf Niedermeier
Keyword(s):  
Interval Graphs ◽  
Fixed Parameter ◽  
Longest Path

On approximating the longest path in a graph

1993 ◽  
pp. 421-432 ◽  
Author(s):  
David Karger ◽  
Rajeev Motwani ◽  
G. D. S. Ramkumar
Keyword(s):  
Longest Path
Sign in / Sign up

Export Citation Format

Share Document