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Title:
Linear recognition of generalized Fibonacci cubes $Q_h (111)$
Authors:
ID
Rho, Yoomi
(
Author
)
ID
Vesel, Aleksander
(
Author
)
Files:
Discrete_Mathematics_&_Theoretical_Computer_Science_2016_Rho,_Vesel_Linear_recognition_of_generalized_Fibonacci_cubes_Q(h)_(111).pdf
(803,81 KB)
MD5: DAF6D1780EBCC9E527A5D4C9D65E3042
PID:
20.500.12556/dkum/6850cd09-0404-4ae7-b83b-55ea7b7aa178
http://dmtcs.episciences.org/2165
Language:
English
Work type:
Scientific work
Typology:
1.01 - Original Scientific Article
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
The generalized Fibonacci cube $Q_h(f)$ is the graph obtained from the $h$-cube $Q_h$ by removing all vertices that contain a given binary string $f$ as a substring. In particular, the vertex set of the 3rd order generalized Fibonacci cube $Q_h(111)$ is the set of all binary strings $b_1b_2 ... b_h$ containing no three consecutive 1’s. We present a new characterization of the 3rd order generalized Fibonacci cubes based on their recursive structure. The characterization is the basis for an algorithm which recognizes these graphs in linear time.
Keywords:
graph theory
,
Fibonacci cubes
,
recognition algorithm
Publication status:
Published
Publication version:
Version of Record
Submitted for review:
12.01.2015
Article acceptance date:
24.08.2016
Publication date:
25.08.2016
Publisher:
Discrete Mathematics & Theoretical Computer Science
Year of publishing:
2016
Number of pages:
13 str.
Numbering:
Letn. 17, št. 3
PID:
20.500.12556/DKUM-66782
ISSN:
1365-8050
UDC:
519.17
ISSN on article:
1365-8050
COBISS.SI-ID:
22599944
NUK URN:
URN:SI:UM:DK:DRWRGY8C
Publication date in DKUM:
10.07.2017
Views:
1593
Downloads:
267
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Discrete mathematics & theoretical computer science
Shortened title:
Discret. math. theor. comput. sci.
Publisher:
DMTCS
ISSN:
1365-8050
COBISS.SI-ID:
8089433
Document is financed by a project
Funder:
ARRS - Slovenian Research Agency
Project number:
BI-KR/13-14–005
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:
10.07.2017
Secondary language
Language:
Slovenian
Keywords:
teorija grafov
,
Fibonaccijeve kocke
,
algoritem prepoznavanja
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