00809nam a22001697a 4500040003600000082001500036100002400051245009300075260003200168300003700200500012100237500004000358500004300398502005500441546001200496650013100508  cRiphah International University  bUMAa511.5  aUmar Farooq (15556)  aIrregularities of the line graph of subdivision graphs of some rooted product of graphs   aLahoreb(unpublished)c2021  avii,61 p.bill. c; 30 cm.e+ CD  aA thesis submitted in partial fulfillment of the requirements for the degree of Master of philosophy in Mathematics.  aIncludes bibliographical references  aThesis Supervisor: Dr. Iftikhar Ahmad   aThesis (MS)--Riphah International University, 2021  aEnglish  aMathematicsvCyclic graph vCartesian productvRainbow connectionsvSubdivision graphsvGraph theory vLine graphvMathvRICAS