License: 
Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2021.27
URN: urn:nbn:de:0030-drops-154609
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/15460/
Bar-Noy, Amotz ;
Peleg, David ;
Rawitz, Dror ;
Yehezkel, Elad
Selected Neighbor Degree Forest Realization
Abstract
The classical degree realization problem is defined as follows: Given a sequence d̄ = (d_1,…,d_n) of positive integers, construct an n-vertex graph in which each vertex u_i has degree d_i (or decide that no such graph exists). In this article, we present and study the related selected neighbor degree realization problem, which requires that each vertex u_i of G has a neighbor of degree d_i. We solve the problem when G is required to be acyclic (i.e., a forest), and present a sufficient and necessary condition for a given sequence to be realizable.
BibTeX - Entry
@InProceedings{barnoy_et_al:LIPIcs.ISAAC.2021.27,
author = {Bar-Noy, Amotz and Peleg, David and Rawitz, Dror and Yehezkel, Elad},
title = {{Selected Neighbor Degree Forest Realization}},
booktitle = {32nd International Symposium on Algorithms and Computation (ISAAC 2021)},
pages = {27:1--27:15},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-214-3},
ISSN = {1868-8969},
year = {2021},
volume = {212},
editor = {Ahn, Hee-Kap and Sadakane, Kunihiko},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/15460},
URN = {urn:nbn:de:0030-drops-154609},
doi = {10.4230/LIPIcs.ISAAC.2021.27},
annote = {Keywords: network realization, graph algorithms, lower bound}
}
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Keywords: |
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network realization, graph algorithms, lower bound |
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Collection: |
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32nd International Symposium on Algorithms and Computation (ISAAC 2021) |
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Issue Date: |
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2021 |
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Date of publication: |
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30.11.2021 |
