PPT-Timetable Problem solving using Graph Coloring

By Venkateswara reddy Tallapu reddy Outline What is Timetable problem. CS594 Graph Theory. Graph Coloring. Coloring – Assignment of labels to vertices. k-coloring – a coloring where . Proper k-coloring – k-coloring where vertices have different labels if they are adjacent. Lindsay Mullen. (Abstract) Algebra and Number Theory. Combinatorics. (Discrete Mathematics). Graph Theory. Graph Coloring. What is Graph Theory?. Branch . of . mathematics . concerned with networks of points connected by . LIAR! . LIAR! . LIAR! LIAR! . LIAR! LIAR! LIAR! . LIAR! LIAR! LIAR! LIAR! LIAR! . LIAR! LIAR! LIAR! LIAR! LIAR! LIAR! LIAR! LIAR! . F. ibbernacci. !. Y12/13 Problem-Solving and STEP Activity Days:. Hamid. . Alaei. (Vertex) Coloring of a graph . G = (V,E) . is a map function . c. . : V → C. C. : set of colors. for every edge . vw. ∈ E: c(v) ≠ c(w). .. chromatic number . χ(G). is the minimal number of colors needed in a coloring of . Paul S. Rosenbloom . |. . 8/5/2011. The projects or efforts depicted were or are sponsored by the U.S. Army Research, Development, and Engineering Command (RDECOM) Simulation Training and Technology Center (STTC. Bart M. P. Jansen. Joint work with Stefan . Kratsch. August 22. nd . 2011, Oslo. Vertex Coloring of Graphs. Given an undirected graph G and integer q, can we assign each vertex a color from {1, 2, …, q} such that adjacent vertices have different colors?. N-Queens. The object is to place queens on a chess board in such a way as no queen can capture another one in a single move. Recall that a queen can move horizontally, vertically, or diagonally an infinite distance. 2. Overview. Graph Coloring Basics. Planar/4-color Graphs. Applications. Chordal Graphs. New Register Allocation Technique. 3. Basics. Assignment of . "colors". to certain objects in a . graph. subject to certain constraints. Thursday, March 27, 14. Bandwidth/. C. utwidth. When the vertices of a graph . G . are numbered with distinct integers, the . dilation . is the . maximum. difference between integers assigned to adjacent vertices. . AF Practical Problem Solving Model (PPSM). 8 Step . Model. Overview. Objective. Help Airmen focus on problem solving skills that affect:. Mission. Workcenters. People. Approach aimed at:. Increasing combat capability. March 2014 Graph Coloring 1 Graph Coloring prepared and Instructed by Shmuel Wimer Eng. Faculty, Bar-Ilan University Vertex Coloring March 2014 Graph Coloring 2 A -coloring of a graph is a labeling Data Structures and Algorithms. CSE 373 WI 19 - Kasey Champion. 1. Last Time. We described algorithms to find:. CSE 373 SP 18 - Kasey Champion. 2. An ordering of the vertices so all edges go from left to right. . Data Structures and Algorithms. CSE 373 19 . Sp. - Kasey Champion. 1. Administrivia. HW 7 Due Friday. Final exam review Wednesday 6/5 4-5:50. Final exam next Tuesday!. Double check all grades . Please fill out survey. Uriel Feige. Weizmann Institute. Joint work with . Roee David. 1. 3-. c. o. l. o. r. i. n. g. 2. 3-. c. o. l. o. r. i. n. g. 3. NP-hard problems. 3-coloring is NP-hard:. f. or every polynomial time 3-coloring algorithm, there are (worst case) 3-colorable graphs on which it fails. .