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Minimal Simplicial Self-maps of the 2-Sphere |
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| Authors: | K V Madahar K S Sarkaria |
| Institution: | (1) Department of Mathematics, Panjab University, Chandigarh, 160014, India;(2) Department of Mathematics, Panjab University, Chandigarh, 160014, India |
| Abstract: | For any d (resp. for almost all d) we compute the least number  (d) of vertices which a triangulation K of the 2-sphere (resp. any other orientable surface) must have in order that there exists a degree d simplicial map from K to the 4-vertex 2-sphere. We also prove an analogous result for uniquely 4-colourable Ks. |
| Keywords: | triangulation simplical map degree 4-colouring |
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