Open problems on graphs arising from geometric topology

DOI10.1016/S0166-8641(97)00093-XzbMath0958.57003OpenAlexW2080577921MaRDI QIDQ1295323

Arkadij B. Skopenkov, Dušan D. Repovš, Alberto Cavicchioli

Publication date: 8 April 2001

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00093-x

zbMATH Keywords

treeembeddingwidthchainable continuaisotopyapproximation by embeddingsdisjoinable graphssymmetric spanVan Kampen's obstruction

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Spectra in general topology (54B35) Embedding (54C25) Real-valued functions in general topology (54C30)

Related Items (11)

A note on irreducible Heegaard diagrams ⋮ On football manifolds of E. Molnár ⋮ On approximability by embeddings of cycles in the plane. ⋮ Graphs encoding 3-manifolds of genus 2 ⋮ On basic embeddings into the plane ⋮ On graph-theoretical invariants of combinatorial manifolds ⋮ Obstructions to approximating maps of \(n\)-manifolds into \(\mathbb{R}^{2n}\) by embeddings ⋮ Constructive decomposition of a function of two variables as a sum of functions of one variable ⋮ On reduced complexity of closed piecewise linear 5-manifolds ⋮ A deleted product criterion for approximability of maps by embeddings ⋮ On contractible 𝑛-dimensional compacta, non-embeddable into ℝ²ⁿ

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