Graph embeddings with no Hamiltonian extensions

التفاصيل البيبلوغرافية
العنوان: Graph embeddings with no Hamiltonian extensions
المؤلفون: Kainen, Paul C., Overbay, Shannon
المصدر: Bulletin of the Institute of Combinatorics and its Applications, vol 99, 2023, pp 52--57
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05C62 (Primary), 05C45, 57M15 (Secondary)
الوصف: We show that extending an embedding of a graph $\Gamma$ in a surface to an embedding of a Hamiltonian supergraph can be blocked by certain planar subgraphs but, for some subdivisions of $\Gamma$, Hamiltonian extensions must exist.
Comment: 6 pages, 2 figures; to appear in Bull. of the Inst. of Comb. and its Appl
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.08306
رقم الأكسشن: edsarx.2303.08306
قاعدة البيانات: arXiv