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A GRAPH THEORETICAL POINCARÉ-HOPF THEOREM OLIVER KNILL Abstract We introduce the index iv = 1 − χS−v for critical points of a locally injective function f on the vertex…
THE MCKEAN-SINGER FORMULA IN GRAPH THEORY OLIVER KNILL Abstract. For any finite simple graphG = V,E, the discrete Dirac operator D = d+d∗ and the Laplace-Beltrami operator…
Graph of r = cos(θ) Math 104-Calculus 2 (Sklensky) In-Class Work April 30, 2012 1 / 15 Graph of r = cos(2θ) Math 104-Calculus 2 (Sklensky) In-Class Work April 30, 2012…
Theta-graph and diffeomorphisms of some 4-manifolds Tadayuki Watanabe∗ June 30, 2020 Abstract In this article, we construct countably many mutually non-isotopic diffeomorphisms…
1.A Graph-based Clustering Scheme for Identifying Related Tags in FolksonomiesSymeon Papadopoulos, Yiannis Kompatsiaris, Athena VakaliBilbao, Spain 30 Aug – 3 SepCERTH…
Slide 1 4.1 Graphs of Sine and Cosine OBJ: Graph sine and cosine Slide 2 1 DEF: Sine Graph 1 0ππ3π 2π -12 2 0 1 0 -1 0 Slide 3 1 DEF: Sine Graph 1 0ππ3π 2π…
Entropy Waves, The Zigzag Graph Product, and New Constant-Degree Expanders Omer Reingold Salil Vadhan Avi Wigderson Lecturer: Oded Levy Introduction Most random constant…
Near Optimal Streaming algorithms for Graph Spanners Surender Baswana IIT Kanpur Graph spanner : a subgraph which is sparse and still preserves all-pairs approximate distances.…
A GRAPH THEORETICAL POINCARÉ-HOPF THEOREM OLIVER KNILL Abstract. We introduce the index i(v) = 1 − χ(S−(v)) for critical points of a locally injective function f on…
Extremal Graph Theory Can be viewed as the study of how graph constants ensure certain properties Graph Constant =⇒ Property order contains K3 size contains Km connectivity…
27 Electrical data controls input Specification item Value Unit Condition Control method 1- 10V Dynadimmer LITE 1-10V acc IEC60929 source current = 150μA Dimming range 10100…
Minimal functions on the random graph Michael Pinsker joint work with Manuel Bodirsky ÉLM Université Denis-Diderot Paris 7 Logic Colloquium 2010 M Pinsker Paris 7 Minimal…
ar X iv :m at h 99 11 17 0v 1 m at h. D G 2 2 N ov 1 99 9 The geodesic flow of a nonpositively curved graph manifold Christopher B. Croke∗ Bruce Kleiner† March 6, 2018…
Search-based Planning Library SBPL Maxim Likhachev Robotics Institute Carnegie Mellon University Maxim Likhachev 2 • Overview • Few SBPL-based planners in details - 3D…
Random Walks Random Fields and Graph Kernels John Lafferty School of Computer Science Carnegie Mellon University Based on work with Avrim Blum Zoubin Ghahramani Risi Kondor…
A new linear algorithm for checking a graph for 3-edge-connectivity Feng Sun Advisor: Dr. Robert W. Robinson Committee: Dr. E. Rodney Canfield Dr. Eileen T. Kraemer 2003.2…
The Fibonacci dimension of a graph Sergio Cabello∗ David Eppstein† Sandi Klavžar‡ November 7 2018 Abstract The Fibonacci dimension fdimG of a graph G is introduced…
ar X iv :1 40 8. 38 58 v3 m at h. C O 3 0 N ov 2 01 5 The approximate Loebl–Komlós–Sós Conjecture I: The sparse decomposition Jan Hladký ∗ János Komlós†…
Bond Graph Model of a Vertical U-Tube Steam Condenser Coupled with a Heat Exchanger K. Medjaher1+ A.K. Samantaray2 B. Ould Bouamama3 1LAB, CNRS UMR 6596, ENSMM de Besançon,…
Periodic Functions and Trigonometry 13-5 The cosine Function Today’s Objective: I can graph the cosine function. Domain: Range: Period: Amplitude: All real numbers –…