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Research proposal on graph coloring

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Award Abstract Density and Edge Coloring. Take social networking as an example: each person in the network could be considered as a point, called a vertex, and two people are joined by an edge if they are friends. Edge-coloring studies the ways one can color edges of a graph under some restrictions. For example, a proper edge-coloring is an assignment of colors to the edges of a graph so that no two edges sharing the same vertex have the same color. One important problem is to find the smallest number of colors possible that can be used for a proper edge-coloring. In this project, the PI is planning to address open problems in edge-coloring as well as deriving efficient algorithms for graph coloring problems.
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Research proposal on graph coloring
Research proposal on graph coloring
Research proposal on graph coloring
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Join Stack Overflow to learn, share knowledge, and build your career. Connect and share knowledge within a single location that is structured and easy to search. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices share the same color; this is called a vertex coloring. Similarly, an edge coloring assigns a color to each edge so that no two adjacent edges share the same color, and a face coloring of a planar graph assigns a color to each face or region so that no two faces that share a boundary have the same color. Given 'n' colors and 'm' vertices, how easily can a graph coloring algorithm be implemented in a programming language? Edit: After reading wiki , the problem is NP-complete Time to revisit maths books : my bad. Just curious, Has this been tried?
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This is partially due to their abundant practical applications and their relations to other fields. For instance, the well-known Four Color Theorem asserts that four colors is always enough to color the regions of a given map such that each region gets one color and two regions sharing some border must receive different colors. This RUI project focuses on intensive research on several graph coloring and choosability problems, which have been frequently used as models for practical applications such as scheduling, traffic control, and the channel assignment problems.
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Computer Science Stack Exchange is a question and answer site for students, researchers and practitioners of computer science. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. How can you show that coloring search can be solved by making a polynomial number of calls to the solution for coloring optimization or coloring decision? Coloring search is the algorithm to color the vertices of a graph such that adjacent vertices have a different color.
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