Applications of Graph Theory in Particle Physics

In this article we are going to discuss the use of graph theory (GT) in the study of the particle physics. The application GT in physics was developed largely during the 1950's and 1993 in an attempt to develop some of fermions and bosons theories at high energy interactions in CERN and productions of heavy hadrons(tetraquarks, pentaquarks systems). Various formal concepts of nite group theory and graph theory are discussed with particular reference to their use in recent work on particle physics theory. The pictorial viewpoint is stressed wherever possible throughout the discussion. The use of GT in conjunction with creation of bounds states system, quark cluster model and particle interactions are discussed. This leads to determination and predication of new exotic hadronic systems. An account is given of GT methods used in creations the few body quark systems. This mathematical approach is outlined as a means of linking the GT and the traditional Feynman diagram methods in quantum led theory(QFT). Based on GT some topics from eld theory and hadronic bound states theory are treated as illustrations of the general principles, and some recent work in these two elds is reviewed.

Feynmann diagram; bound states; mathematical theories; eightfold way.