00855nam a22001817a 4500040003600000082001400036100002300050245010300073260003200176300004400208500010100252500004000353500005600393500003400449502005500483546001200538650012300550  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 aGeneralization of he materix for inner dual graphs of hexagonal system and its spectral properties  aLahoreb(unpublished)c2019  axiv, 92 p.b: ill.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