EMBEDDING OF METRIC GRAPHS ON HYPERBOLIC SURFACES

DOI10.1017/S0004972719000145zbMath1420.57010arXiv1703.02359OpenAlexW2732455052MaRDI QIDQ5380462

Bidyut Sanki

Publication date: 4 June 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02359

zbMATH Keywords

girthBetti numberhyperbolic surfacefat graphBetti deficiency

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Cites Work

• Unnamed Item
• Short loop decompositions of surfaces and the geometry of Jacobians
• How to determine the maximum genus of a graph
• Systoles and topological Morse functions for Riemann surfaces.
• Minimally intersecting filling pairs on surfaces
• Relative shapes of thick subsets of moduli space
• Survey of results on the maximum genus of a graph
• The embeddings of a graph—A survey
• Filling of closed surfaces
• The Genus of the n-Cube
• Graphs of systoles on hyperbolic surfaces
• The Genus, Regional Number, and Betti Number of a Graph
• Geometry and spectra of compact Riemann surfaces

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