- Title
- Constructions of large graphs on surfaces
- Creator
- Feria-Puron, Ramiro; Pineda-Villavicencio, Guillermo
- Relation
- ARC.DP110102011
- Relation
- Graphs and Combinatorics Vol. 30, Issue 4, p. 895-908
- Publisher Link
- http://dx.doi.org/10.1007/s00373-013-1323-y
- Publisher
- Springer Japan
- Resource Type
- journal article
- Date
- 2014
- Description
- We consider the degree/diameter problem for graphs embedded in a surface, namely, given a surface Σ and integers Δ and k, determine the maximum order N(Δ,k,Σ) of a graph embeddable in Σ with maximum degree Δ and diameter k. We introduce a number of constructions which produce many new largest known planar and toroidal graphs. We record all these graphs in the available tables of largest known graphs.
- Subject
- graphs on surfaces; map colouring theorem; primary 05C10; secondary 05C35
- Identifier
- http://hdl.handle.net/1959.13/1066663
- Identifier
- uon:18196
- Identifier
- ISSN:0911-0119
- Language
- eng
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