01029nam a22002177a 4500952011400000999001700114040003600131082001400167100002300181245010300204260003200307300004400339500010100383500004000484500005600524500003400580502005500614546001200669650012300681942000700804  00104070aGGLbGGLd2019-12-03eRiphah International Universityl0o510 ANIp57627r2019-12-03 00:00:00yTH  c27528d27528  cRiphah International University  bANI a510  aAniqa Amin(402251)  aGeneralization of he materix for inner dual graphs of hexagonal system and its spectral properties  aLahoreb(unpublished)c2019  axiv, 92 p.b: ill. col.c; 29 cm.e+ CD  aIn partial fulfillment of the requirement for the degree of Master of Philosophy in Mathematics.  aIncludes bibliographical references  aThesis supervisor: Prof  Dr. Faqir Muhammad  Bhatti  aRegistration no:F17C14G060061  aThesis (MS)--Riphah International University, 2019  aEnglish  aMathematicsaDigraphvSpectral propertiesvSpectral boundsvLabeling graphsvDual graphsvGeneralizationvMSMATHvRICS  cTH