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Total Labeling of Some Families of Trees and Cycles with Chords

Thesis Info

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Author

Muhammad Hussain

Department

Department of Mathematics

Program

PhD

Institute

Government College University

Institute Type

Public

City

Lahore

Province

Punjab

Country

Pakistan

Degree Starting Year

2004

Degree End Year

2008

Subject

Mathematics

Language

English

Link

https://library.gcu.edu.pk/Thesis/PhD/Hussain47Math08.pdf  

Other

CD is also available at PG Library

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676711053372

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۔غزل

غزل۔۔۔ڈاکٹرالیاس عاجز

مری  آہ  و  فُغاں   سُن   کر   خفا   دربار   ہیں  مُجھ  پر
مَیں  باغی  ہوں  مگر   پہلے  بغاوت   کا  سبب  جانو
اِدھر   بے    زار   ہوں   مَیں   حاشیہ   بردار   ٹولے   سے
اگر   حکمِ   اطاعت   ہے   تو    پھر    یہ   یاد  رکھ  لینا
سُبُک   سر   لوگ   بستی  کے   مرا   اب   خوں بہاٸیں گے
اسیری   میں  حُرِیَّت   کی   فضا    میں   خود  بناٶں  گا
مَیں بیعت  کر  تو سکتا  ہوں مگر  پھر جھوٹ پر  مبنی
مرے  لفظوں میں  رنج  و  غم  سمٹ  آتا   ہے   اُمَّت  کا
نہ  سمجھو  کھیل  لفظوں کا  یہ  دل کو چیر نکلے  ہیں

 

یہ لکھتے اُن کی جانب  سے  کٸی  اخبار  ہیں  مُجھ  پر
وگرنہ  ہتھکنڈے  اوچھے سبھی  بے  کار   ہیں  مجھ  پر
اُدھر    ظِلِّ    اِلٰہی   بھی    بڑے    قہار   ہیں  مُجھ  پر
حُسینی   ہوں  کٸی  واجب  ابھی   انکار   ہیں  مجھ  پر
کہ کھینچے شش جِہَت سے  تیر اور تلوار  ہیں  مجھ  پر
فلک  تک  پھر اُٹھاٸے  جو  دَر  و  دیوار   ہیں  مُجھ  پر
قصیدے   شاہ   کے  لکھنا  بڑے   دُشوار  ہیں  مجھ  پر
کہ  ماضی حال و مستقبل  سبھی  بیدار  ہیں  مجھ  پر
وَرُودِ جسم  و جاں عاجز جو  بھی اشعار  ہیں  مجھ  پر

كمال التحقيق في ترجمة نبي الله يوسف الصديق

This study sheds light on the life of an important figure that has had a great impact on humanity throughout history and that is the personality of Prophet Yūsuf Al-Siddīq “Joseph the Truthful”، peace and blessings of God be upon him. Since sources cited different narratives revolving around the events in the Prophet’s life، the researchers aimed to explore such events in the archived sources pertaining to his life. The inductive comparative method was used to conduct this thorough study of Prophet Joseph’s biography. Having defined the meaning of the name of the Prophet Yūsuf Al-Siddīq “Joseph the Truthful”، the names of the Prophet’s ancestors were traced and explored based upon a documented proof of his genealogical ancestry. The study also sheds light on the Prophet’s homeland where he was born and raised.  The study also explores the qualities of beauty that God bestowed on Prophet Joseph. Moreover، the study also discusses the Prophet’s morals، ethics and disposition. The study concludes with an investigation into the marriage of Prophet Joseph، peace be upon him.

Micro Rna Control of Nbs-Lrr and Non-Nbs-Lrr Based Immunity in Cucumis Sativus

The defense system of plants is comprised of various R-protein, which usually contain nucleotide binding site-Leucine rich repeat (NBS-LRR) domain. In addition, non NBS-LRR genes like SAMDC, ODC, SPM, SPD, HSP90, HSP17, HSF-A and HSF-B also prepare plants to combat biotic stress. MicroRNAs (miRNAs) represent the 2nd layer of defense and play a pivotal role behind the scene. This study was conducted to explore the role of these three components, in provoking immune response of cucumber plants after challenging with cucumber mosaic virus (CMV). Screening of 21 genotypes of cucumber against CMV showed Ames-26917 as the most susceptible and identified P1-618950 as the most resistant one. Phylogenetic analysis and sequence alignment of 57 NBS genes, showed various classes of the NBS- gene family. Transcript profiling of 17 CC domain-containing genes along with non-NBS-LRR genes in the virus inoculated plants of selected resistant and susceptible genotypes at 8 DPI and 15 DPI was carried out by real time RT-PCR. In the resistant genotype, relatively higher transcript levels of NBS-1, NBS-5 and NBS-7 were observed at 15 DPI in infected plants as compared to non-infected control. At 8 DPI, the transcript accumulation of the NBS genes was down-regulated upon infection. In the susceptible genotype, the same trend was observed but the transcripts were relatively lower in concentration as compared to resistant genotypes. In non-infected plants, no change of transcript level was observed between 8 DPI and 15 DPI. Transcript analysis of non-NBS genes showed similar trend of transcript accumulation in both, resistant and susceptible genotypes between 8DPI and 15 DPI except for HSP-17, whose transcription was up regulated upon infection at 15 DPI. To explore the potential role of miRNAs in attenuating these genes, bioinformatics prediction of miRNAs, targeting NBS-LRR genes, was conducted. Ten miRNAs showed their complementation with 7 NBS-LRR genes. To validate the role of these miRNAs in attenuating the target genes, co-expression analysis was carried out, which detected these miRNAs only in non-infected cucumber genotypes (and infected as stated below?). This study concluded that cucumber plant’s immune system was not triggered until the virus obtained its threshold level at 15DPI. The non NBS-LRR genes do not seem to play role in preparing the system against biotic stress, except HSP-17, which was upregulated at 15 DPI. The detection of selected miRNAs (396c, 156a, 157b, 159a, 162a, 169a, 169c, 169e, 172d, 390b) only in the infected samples suggested their role in attenuating the expression of NBS-LRR genes but non NBS-LRRs are neutral to the abundance or absence of miRNA before or after infection.