On the page-number of a circulant graph

The page-number of a graph G, denoted by p(G), is the minimum k such that G has an embedding in a k-book. The circulant graph C(m, n) is such a graph that its vertex set is [Formula: see text] and edge set is [Formula: see text], where m, n are positive integers satisfying [Formula: see text] and indices is read modulo m. In the paper we show that the page-number of a circulant graph C(m, n) is three except for [Formula: see text], where the page-number of [Formula: see text] is two.

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Publication Details

Journal
AKCE International Journal of Graphs and Combinatorics
Published
2025-01-10
DOI
https://doi.org/10.1080/09728600.2024.2438388
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On the page-number of a circulant graph

Dengju Ma, Xiao-Yuan Dong
AKCE International Journal of Graphs and Combinatorics
Graph theory and applications
article

On the page-number of a circulant graph

Dengju Ma, Xiao-Yuan Dong
article en

Abstract

The page-number of a graph G, denoted by p(G), is the minimum k such that G has an embedding in a k-book. The circulant graph C(m, n) is such a graph that its vertex set is [Formula: see text] and edge set is [Formula: see text], where m, n are positive integers satisfying [Formula: see text] and indices is read modulo m. In the paper we show that the page-number of a circulant graph C(m, n) is three except for [Formula: see text], where the page-number of [Formula: see text] is two.

AKCE International Journal of Graphs and CombinatoricsVol. 22(2)
Nantong University (CN), Nanchang Normal University (CN)
Openalex Percentile: Top 98%
Graph theory and applications
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