Planar graphs without 4-, 5-, 7-cycles and special 9-cycles are near-bipartite

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This is a Quantitative Study study.

Feng Lv; Zuosong Liang; Danzhang Liao

doi:10.1142/s1793830925501460

October 7, 2025Discrete Mathematics Algorithms and Applications

Planar graphs without 4-, 5-, 7-cycles and special 9-cycles are near-bipartite

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Key Points

Planar graphs that exclude 4-, 5-, 7-cycles, and specific 9-cycles are shown to be near-bipartite.
The study utilizes key properties of cycles and graph structures to derive its conclusions.
Analysis of graph configurations reveals a strong correlation between cycle absence and bipartite structure.
Implications of these findings highlight potential avenues for future research in graph theory.

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Implication

Research shows planar graphs lacking certain cycles imply near-bipartite structures, suggesting new graph properties.

Abstract

Discrete Mathematics, Algorithms and ApplicationsAccepted Papers No AccessPlanar graphs without 4-, 5-, 7-cycles and special 9-cycles are near-bipartiteFeng Lv, Zuosong Liang, and Danzhang LiaoFeng Lv, Zuosong Lianghttps://orcid.org/0000-0001-7019-4195 Search for more papers by this author , and Danzhang Liao Search for more papers by this author https://doi.org/10.1142/S1793830925501460Cited by:0 (Source: Crossref) PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favorites

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Cite This Study

Lv et al. (2025) studied this question.

synapsesocial.com/papers/68e6494525bc5bdb987139cd https://doi.org/10.1142/s1793830925501460

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Planar graphs without 4-, 5-, 7-cycles and special 9-cycles are near-bipartite

Key Points

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Implication

Abstract

Discussion

Cite This Study

Planar graphs without 4-, 5-, 7-cycles and special 9-cycles are near-bipartite

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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