On the factor-thickness of regular graphs

For each r-regular graph G, define a binary sequenceθ(G) = (θ 1,θ 2,...,θ r-1) byθ k = 0 if G has ak-factor, andθ k = 1 otherwise. A binary sequenceε = (ε i |i = 1, 2,...,r − 1) is said to be realizable if there exists an r-regular graph G such thatθ(G) = ε. In this paper we characterize all binary...

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Main Authors: Peng, Yee Hock, Chen, Chuan Chong, Koh, Khee Meng
Format: Article
Language:English
Published: Springer 1989
Online Access:http://psasir.upm.edu.my/id/eprint/38739/1/a77%20-%20on%20the%20factor%20thickness%20of%20regular%20graphs.pdf
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author Peng, Yee Hock
Chen, Chuan Chong
Koh, Khee Meng
author_facet Peng, Yee Hock
Chen, Chuan Chong
Koh, Khee Meng
author_sort Peng, Yee Hock
collection UPM
description For each r-regular graph G, define a binary sequenceθ(G) = (θ 1,θ 2,...,θ r-1) byθ k = 0 if G has ak-factor, andθ k = 1 otherwise. A binary sequenceε = (ε i |i = 1, 2,...,r − 1) is said to be realizable if there exists an r-regular graph G such thatθ(G) = ε. In this paper we characterize all binary sequences which are realizable.
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spelling upm.eprints-387392015-06-09T06:23:27Z http://psasir.upm.edu.my/id/eprint/38739/ On the factor-thickness of regular graphs Peng, Yee Hock Chen, Chuan Chong Koh, Khee Meng For each r-regular graph G, define a binary sequenceθ(G) = (θ 1,θ 2,...,θ r-1) byθ k = 0 if G has ak-factor, andθ k = 1 otherwise. A binary sequenceε = (ε i |i = 1, 2,...,r − 1) is said to be realizable if there exists an r-regular graph G such thatθ(G) = ε. In this paper we characterize all binary sequences which are realizable. Springer 1989 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38739/1/a77%20-%20on%20the%20factor%20thickness%20of%20regular%20graphs.pdf Peng, Yee Hock and Chen, Chuan Chong and Koh, Khee Meng (1989) On the factor-thickness of regular graphs. Graphs and Combinatorics, 5 (1). pp. 173-188. ISSN 0911-0119; ESSN: 1435-5914
spellingShingle Peng, Yee Hock
Chen, Chuan Chong
Koh, Khee Meng
On the factor-thickness of regular graphs
title On the factor-thickness of regular graphs
title_full On the factor-thickness of regular graphs
title_fullStr On the factor-thickness of regular graphs
title_full_unstemmed On the factor-thickness of regular graphs
title_short On the factor-thickness of regular graphs
title_sort on the factor thickness of regular graphs
url http://psasir.upm.edu.my/id/eprint/38739/1/a77%20-%20on%20the%20factor%20thickness%20of%20regular%20graphs.pdf
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