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Face Labelings of Graphs

Thesis Info

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Author

Bashir, Fozia

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2005

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/223

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726193514

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The thesis deals with the problem of labeling the vertices, edges and faces of a plane graph in such a way that the label of a face and the labels of vertices and edges surrounding that face add up to a weight of that face. A labeling of a plane graph is called d-antimagic if for every positive integer s, the s-sided face weights form an arithmetic progression with a difference d. Such a labeling is called super if the smallest possible labels appear on the vertices. The thesis is devoted to study of super d-antimagic labelings of type (1, 1, 1) for antiprisms and disjoint union of prisms. We consider the antiprism and prism as three cycle parts: the outer cycle, the inner cycle and the middle cycle. To label the inner, the outer and the middle cycles we use the edge-antimagic total labelings and the vertex-antimagic total labelings. These labelings combine to a resulting super d-antimagic labeling of type (1, 1, 1) for the required values of difference d.
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جمال عبدالناصر

جمال عبدالناصر
جمال عبدالناصر کی موت دنیائے عرب کا بہت بڑا حادثہ ہے، مدتوں کے بعد عربوں میں اتنا بڑا لیڈر پیدا ہوا تھا، ان کی پوری زندگی قوم و وطن کی راہ میں ایک جہد مسلسل تھی، اس راہ میں جان تک دے دی، انھوں نے عربوں میں آزادی کی روح پھونکی، مصر کی شخصی بادشاہت سے نجات دلائی، سامراجی طاقتوں سے ٹکرلی، برطانوی اثر و اقتدار سے سرزمین مصر کو آزاد کرایا، نہر سویز کے قومیا نے کے انتقام میں فرانس، برطانیہ اور اسرائیل کے متحدہ حملہ کو ذلت آمیز شکست دی، اسوان بند تعمیر کرایا، ان کے علاوہ اور بہت سے تعمیری کام کئے، ان کارناموں نے ان کو دنیا کے بڑے لیڈروں کی صف میں کھڑا کردیا تھا، وہ اپنی قوم میں اس قدر مقبول و محبوب تھے کہ اگر ان کی جگہ کوئی دوسرا لیڈر ہوتا تو ۶۷؁ء کو شکست کے بعد اس کا زوال یقین تھا، لیکن اس کے بعد بھی ان کی مقبولیت میں فرق نہ آیا، ان سے بعض سیاسی اور مذہبی غلطیاں بھی ہوئیں، جن سے عرب اتحاد اور خود ان کے ملک اور ان کی شہرت کو نقصان پہنچا لیکن ان کی مذہبی غلطیاں مذہب کی مخالفت یا اس سے آزادی کے بجائے اس دور کی لادینی سیاست کا نتیجہ تھیں جس سے کوئی اسلامی ملک بھی محفوظ نہیں، خصوصاً جن کی سیاست میں غیرمسلم بھی دخیل ہیں، مگر ان غلطیوں کے مقابلہ میں ان کے کارنامے زیادہ ہیں، اﷲ تعالیٰ ان کے اچھے اعمال کے طفیل میں ان کی مغفرت اور ان کی لغزشوں سے درگزر فرمائے، ان کی زیر تعمیر مسجد میں ان کی تدفین بھی ان کے حسن خاتمہ کے لئے فال نیک ہے، ان کی موت سے عرب دنیا ایک ایسے لیڈر سے محروم ہوگئی، جس کی تلافی مدتوں نہ ہوسکے گی۔
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THE PHILOSOPHY OF CONTEMPORARY EDUCATION AND ITS IMPLICATIONS FOR THE DEVELOPMENT OF ISLAMIC EDUCATION

The title of this research is Theoretical Debate over the Philosophical Roots of Contemporary Education and Its Implications for the Development of Islamic Education. The purpose is to disentangle, to explore and to discuss the foundations of theoretical roots of educational philosophy and its relational consequences with Islamic education. The issues raised are: 1). How is the philosophical foundation of education and its relationship to philosophy and education? 2). What are the Philosophical Roots of Educational Theory and Its Implications for Curriculum, Teaching and Learning? 3). What are the implications for the development of Islamic education? The type of research is Library Research which uses philosophical and pedagogical approach, with descriptive method. The findings of this study are: a) the study of the key philosophical ideas that influence thought and development of education are aspects of metaphysics, epistemology and axiology. Without these three philosophical foundations, science and its various disciplines will fail; b) the relationship between philosophy and education are like two sides of one coin that cannot be separated, both give and take in the context of mutualism. So the existence of philosophy in education is a necessity; c) The theoretical debate over the roots of the philosophy of education requires the development of Islamic education.

Studies on Anticancer and Antileishmanial Potentials of Synthetic Compounds and Insight into Anticancer Mechanism of Selected Organotin Iv Compounds

Drug development has multiple stages of drug designing and evaluation in pharmacological models for desired clinical outcomes. The unmet need to completely eradicate cancer and leishmaniasis drives researchers to continue the struggle for safer and effective medicines. Along these lines, a library of 78 organic synthetic compounds including organotin (IV) (39), indoline (15), hydrazide (4), diazole (2) and ferrocene (18) derivatives were studied against Leishmania and cancer using in vitro, in silico and in vivo models. Cytotoxicity against DU145, THP-1 and isolated lymphocytes was shown by 36 (> 70%), 21 (> 50-70%), and 18 (least IC50 2.23 μg/ml) organotins and 1 (75.72%), 4 (50.2-82.3%) and 2 (least IC50 13 μg/ml) indolines, respectively. Only 5 (50.08-81.7%) hydrazides/diazoles and 9 (least IC50 6.66 μg/ml) ferrocenes were cytotoxic to THP-1 cells and lymphocytes, respectively. A total of 38 (least MIC 0.0122 μg/disc) organotins, 1 (least MIC 3.125 μg/disc) indoline, 3 (least MIC 1.5625 μg/disc) diazole/hydrazides and 17 (least MIC 0.74 μg/disc) ferrocenes demonstrated protein kinase (PK) inhibition activity in Streptomyces 85E. Next, in silico analysis of selected 36 organotin (IV) compounds, comparatively more cytotoxic to cancer cells, showed that these were drug-like to mid structures, have low to high blood brain barrier penetration and human intestinal absorption (caco2 cell permeability 17.6-35.09 nm/sec) and were metabolized by phase I and phase II reactions. Organotins were also predicted to target multiple enzymes, transcription factors, receptors, transporters, ion channels and other proteins. Subsequently, in vitro cytotoxicity analysis in prostate cancer cell lines and fibroblasts provided least IC50 values of 0.17 μM (PC3M) and 1.67 μM (fibroblasts) for triphenyltin (IV); 0.63 μM (PC3M) and 0.12 μM (fibroblasts) for tributyltin (IV); 0.33 μM (PC3M) and 2.55 μM (fibroblasts) for dibutyltin (IV) and 6.06 μM (PC3M) and 4.29 μM (fibroblasts) for tribenzyltin (IV) compounds after 72 h of treatment. Eventually, in-depth study of two most active compounds namely dibutylstannanediyl (2Z,2’Z)-bis(4-(benzylamino)-4-oxobut-2-enoate (Ch-620) and triphenylstannyl 2-(benzylcarbamoyl) benzoate (Ch-319), showed that both compounds were more cytotoxic to prostate cancer and melanoma cells as compared to normal cells, restricted their colony forming capacity and migration, induced cell cycle arrest and caspase mediated apoptosis and disrupted associated regulatory proteins. Ch-620 resulted in phosphorylation of p38 MAPK and ERK1/2, upregulation of PPARα, decreased expression of SMAD4 and ITGB5 and reduced tumor proliferation as observed by proteomics, in vitro and in vivo xenograft studies. Treatment of cancer cells and transgenic Pten knockout mice with Ch-319 downregulated PI3K/Akt signaling associated with elevation of FOXO3a expression. In addition, Ch-319 decreased expression of epithelial-mesenchymal transition markers N-cadherin and Vimentin with concomitant increase in E-cadherin in in vitro. Immunohistochemical examination of tumor sections also depicted reduction of proliferation markers. Moreover, evaluation of 78 compounds against Leishmania tropica kwh showed that 37, 5 and 1 organotin, indoline and ferrocene compounds, respectively inhibited growth of promastigotes. The selected 43 compounds predominantly organotin (IV) derivatives, halted the growth of Leishmania promastigotes partially by producing reactive oxygen species. Antileishmanial activity was reduced by 4.1-6.9 and 1.4-7.96% in triphenyltin (IV), 3.3-14.22 and 6.3-11.2% in tribenzyltin (IV), 5.2-34.38 and 1.8-38.2% in tributyltin (IV) and 7.9-15.7 and 5.2-15.4% in dibutyltin (IV) compounds in the presence of sodium azide and mannitol, respectively. Indolines and ferrocenes demonstrated antileishmanial activity reduction maximally in the presence of mannitol by 5.3 and 6.22%, respectively. Considering all these results, it is proposed that Ch-319 and Ch-620 have potential to be developed as anticancer agents against prostate cancer. Furthermore, organotin (IV) compounds in particular are also potent antileishmanial agents and detailed analysis on their mechanism is recommended.