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The Geometry And Combinatorics Of Ehrhart -VectorsThe Geometry And Combinatorics Of Ehrhart -Vectors By Alan Michael Stapledon A Dissertation Submitted In Partial Ful Llment Of The Requirements For The Degree Of Doctor Of Philosophy (Mathematics) In The University Of Michigan 2009 Doctoral Committee: Professor Mircea Mustat˘a, Chair Professor William Fulton Professor Robert Lazarsfeld 1th, 2024Approximations Of Points: Combinatorics And AlgorithmsRithms For Computing Maximum Independent Sets In Intersection Graphs Of Geometric Objects In The Plane [4, 6]. Other Works Include Streaming Algorithms For Computation Of Minimum-width, Small-est Enclosing Ball And Other Problems [3], And The first Constant-factor Approximation Algorithm For The Well-known Group TSP Problem [13]. 1th, 2024MA 6124 GRAPH THEORY AND COMBINATORICSConnectivity : Vertex And Edge Connectivity, Whiteney’s Theorem, N - Connected Graphs Mengers’ Theorem. Traversability : Hamiltonian Graphs : Ore’s Theorem, Posa’s Theorem, Other Sufficient Conditions For Hamiltonicity, Euler Graphs, Planar Graphs, Euler Formula, Platonic Bodies. Non Planar Graphs. Module III (14 Hours ) 1th, 2024.
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