Uniquely bi-embeddable bipartite 2-regular graphs

A bipartite 2-regular graph is a bipartite graph \(G\) such that \(G = C_{2n_{1}} \cup C_{2n_{2}} \cup \cdots \cup C_{2n_{k}}\) with \(k \geq 1\), i.e., \(G\) is a vertex-disjoint union of bipartite cycles. In this paper, we completely characterize the bipartite 2-regular graphs which can be uniquely bi-embedded into their bipartite complements.

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Publication Details

Journal
Cubo
Published
2026-11-04
DOI
https://doi.org/10.56754/0719-0646.2901.007
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
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article

Uniquely bi-embeddable bipartite 2-regular graphs

Hong Wang, Jiayu Yang
Cubo
Advanced Graph Theory Research
article

Uniquely bi-embeddable bipartite 2-regular graphs

Hong Wang, Jiayu Yang
article en

Abstract

A bipartite 2-regular graph is a bipartite graph \(G\) such that \(G = C_{2n_{1}} \cup C_{2n_{2}} \cup \cdots \cup C_{2n_{k}}\) with \(k \geq 1\), i.e., \(G\) is a vertex-disjoint union of bipartite cycles. In this paper, we completely characterize the bipartite 2-regular graphs which can be uniquely bi-embedded into their bipartite complements.

CuboVol. 29(1)
University of Idaho (US)
Openalex Percentile: Top 16%
Advanced Graph Theory Research
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Uniquely bi-embeddable bipartite 2-regular graphs — Hong Wang, Jiayu Yang · Cubo (2026) | TGRS Research Map | TGRS