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Let F, G dan H be graphs. The notation F ! (G;H) means that any red-blue <br /> <br /> <br /> <br /> <br /> coloring of the edges of F contains a red subgraph G or a blue subgraph H. Graph <br /> <br /> <br /> <br /> <br /...

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Bibliographic Details
Main Author: GUNAWAN , GUNTUR
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/18563
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Institution: Institut Teknologi Bandung
Language: Indonesia
Description
Summary:Let F, G dan H be graphs. The notation F ! (G;H) means that any red-blue <br /> <br /> <br /> <br /> <br /> coloring of the edges of F contains a red subgraph G or a blue subgraph H. Graph <br /> <br /> <br /> <br /> <br /> F is called a Ramsey (G;H)minimal graph if it satisfies that F ! (G;H) and <br /> <br /> <br /> <br /> <br /> F fie9(G;H) for any e 2 E(F). The notation Â(G;H) is the class of all Ramsey <br /> <br /> <br /> <br /> <br /> (G;H)minimal graph. In this Final Project we derive some necessary conditions <br /> <br /> <br /> <br /> <br /> of graphs belong to Â(P3;P5). From these conditions, we determine some graphs <br /> <br /> <br /> <br /> <br /> containing a cycle which belong to Â(P3;P5).