Fractional Graph Theory: A Rational Approach to the Theory of Graphs

Aunifiedtreatmentofthemostimportantresultsinthestudyoffractionalgraphconcepts,thisvolumeexploresthevariouswaysinwhichinteger-valuedconceptscanbemodifiedtoderivenonintegralvalues.Itbeginswiththegeneralfractionaltheoryofhypergraphsandpresentsin-depthcoverageoffundamentalandadvancedtopics.Subjectsincludefractionalmatching,fractionalcoloring,fractionaledgecoloring,fractionalarboricityviamatroidmethods,andfractionalisomorphism.Thefinalchapterexaminesadditionaltopicssuchasfractionaldomination,fractionalintersectionnumbers,andfractionalaspectsofpartiallyorderedsets.
Challengingexercisesreinforcethecontentsofeachchapter,andtheauthorsprovidesubstantialreferencesandbibliographicmaterials.Acomprehensivereferenceforresearchers,thisvolumealsoconstitutesanexcellentgraduate-leveltextforstudentsofgraphtheoryandlinearprogramming.