PPT-Beyond Planar Graphs:

Minors Bidimensionality amp Decomposition r r Erik Demaine MIT Goals How far beyond planar graphs can we go Graphs excluding a fixed minor Powers thereof Build general approximation frameworks . Scintigaraphy. Hui. Pan. Chapter 8, Planar . Scintigraphy. What is Planar . Scintigraphy. ?. Planar . Scintigraphy. : unlike x-ray imaging, use Anger scintillation camera, a type of electronic detection instrumentation, to generate . R. Bar-Yehuda, D. Hermelin, and D. Rawitz. 1. Vertex Cover in Rectangle Graphs. R. ’ .  . R. . s.t. . . R. - . R. ’ is pairwise non-intersecting:. 2. Vertex Cover in Rectangle Graphs. R. ’ . 1. What is left to do on Cops and Robbers?. Anthony Bonato. Ryerson University. GRASCan. 2012 . Where to next?. we focus on . 6. research directions on the topic of Cops and Robbers games. by no means exhaustive. , flow, and cuts: an introduction. University of Washington. James R. Lee. max-flow min-cut theorem. Flow network: . Graph . G. and non-negative capacities on edges. s. t. Max-flow Min-Cut Theorem: . September 2013. Planar . UltraRes. ™ 4K Displays. Ultra HD for Professional Applications. Confidential | Planar Systems. 2. 84” diagonal,. . 3840 x 2160 resolution . Outstanding. image quality. February . 2013. Planar . UltraRes. ™ 4K Displays. Ultra HD for Professional Applications. Confidential | Planar Systems. 2. 84” diagonal,. . 3840 x 2160 resolution . Outstanding. image quality. June . . 2. 013. Planar . UltraRes. ™ 4K Displays. Ultra HD for Professional Applications. Confidential | Planar Systems. 2. 84” diagonal,. . 3840 x 2160 resolution . Outstanding. image quality. Dwyane George. March 10, 2015. Outline. Definitions. Algorithm: Single-Source Shortest Path (SSSP. ). r. -Division (Clustering). Runtime Analysis. Proof . of . Correctness. Planar Graphs. Definition: a graph G that can be embedded in a plane, such that the edges only intersect at the endpoints. Full resolution, hardened Video Wall workstation. Planar Imager Workstation (PLI). Hardened video wall workstation. Drives video walls of up to 48 FHD displays. Drives video wall at native, full resolution. Angelika Steger. (j. oint. . work. . with. . Konstantinos . Panagiotou. , SODA‘11. ) . . TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. Random Graphs . . Intro problem- 3 houses and 3 utilities.  K. 3,3. problem: Can 3 houses be connected to 3 utilities so that no 2 lines cross?. Similarly, can an isomorphic version of K. 3,3. be drawn in the plane so that no two edges cross?. on Cops and Robbers. Anthony Bonato. Ryerson University. Genus. (Aigner, . Fromme. , 84) . planar graphs (genus . 0. ) have cop number . ≤ 3.. (Clarke, 02) . outerplanar. graphs have cop number . The vertical scale is too big or too small, or skips numbers, or doesn’t start at zero.. The graph isn’t labeled properly.. Data is left out.. But some real life misleading graphs go above and beyond the classic types. Some are intended to mislead, others are intended to shock. And in some cases, well-meaning individuals just got it all plain wrong. These are some of my favorite recent-history misleading graphs from real life.. Embeddings. Shawn Cox. CS 594: Graph Theory. 3-5-2014. Gas – Water – Electric Problem. Three Rivals all want service from the three utility services.. If any of the service lines cross, there will be a fight between the rivals.