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    <subfield code="a">Bounds for laplacian energy of families of graphs constructed with integer partitions </subfield>
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    <subfield code="a">Lahore</subfield>
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    <subfield code="a">Submitted in fulfillment of the requirements for the degree of Master of Philosophy in Mathematics</subfield>
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    <subfield code="a">Thesis supervisor: Dr. Faqir Muhammad Bhatti
 Co-supervisor: Miss Iqra Zaman</subfield>
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