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Topological Invariants of Graphs

Thesis Info

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Author

Nadeem, Imran

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12761/1/1.%20Final%20Thesis_Signed_Topological%20Invariants%20of%20Graphs%2c%20Imran%20Nadeem%2c%20CIIT%20FA13-PMATH-003%20LHR.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727618532

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Chemical graph theory provides useful tools such as molecular descriptors to develop strong intrinsic relationship between the physicochemical features of chemical compounds and their molecular graphs. The study of molecular descriptors provides a theoretical basis for the fabrication of chemical materials and is helpful in making up for the lack of chemical experiments. There are two prominent types of molecular descriptors; the topological indices and counting polynomials. Further, topological indices can be categorized in two major classes: one class is based on degree and the other class is based on distance. In this thesis, we present the study of certain topological indices belonging to degree- and distance-based classes and counting polynomials for some well-known nanostructures. We also present a comparative study between different topological indices belonging to degree- and distance-based classes for general graphs. In addition, we study the para-line transformation of graphs and obtain the general expressions of certain topological indices for this transformation. We achieve the lower and upper bounds of certain distance-based topological indices for the para-line transformation of graphs.
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پروفیسر ٹی گجر

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            پروفیسر ٹی گجر، جنھوں نے ماہِ گذشتہ میں وفات پائی، مغربی ہندوستان کے بہترین ماہر کیمیائیات تھے، ان کی سائنٹفک اور کیمیاوی عظمت یورپ کے علمی حلقوں میں مسلّم تھی، اور ان کے بعض کارنامے ان کے معاصرین کے لیے باعثِ رشک تھے۔

(ستمبر ۱۹۲۰ء)

Religiosity for Promotion of Behavior: Role of Islamic Worships in Moral Development of Muslim Youth

The question of moral rectitude and upbringing of youth in the current social arena is the contemporary discovery attributed to social and family norms that also undergo change due to social and economic reasons. Consequently, deferring levels of piety become more or less acceptable according to an individual’s surroundings and age. The study was done to determine the association between religiosity and behaviors likely to improve the moral, social and psychological habits of young Muslims. The discussion of the article contextualizes the effects of observing practices of Islam on a larger scale. A sample study of this research can be used as evidence to counter the contemporary environment which inevitably generates contradictions for young people. The contradictions result in uncertainty and materialistic atmosphere which does not cater to their spiritual needs and the requirements to develop as the youth of Ummah. Yet, we cannot stop or avoid the negative channels and their effects prevailing on the internet. We can; however, extend the positive spiritual energy in youth that is only possible through careful observance of religious practices comprising regular prayers, fasting, charity and pilgrimage (Hajj). The current apathy of our youth towards the religious injunctions may be attributed to social and family norms that are in some cases relative to the economic conditions and social backup. This will evaluate and assess the way and means of effective inlaying of moral fields where our young people can improve their moral aptitude and rectitude. The impasse of current moral turpitude can be shattered with the bounding relation of human activity and Islamic ritual.

Phytosanitary Management of Trogoderma Granarium Everts With Methyl Bromide Alternatives to Ensure Food Security and Safety

Wheat crop occupies a central position in agriculture sector and our national economy. Pakistan’s contribution toward global wheat production is about 3.2 percent. The Punjab province is leading producer of wheat with a share of more than 70 percent of the total wheat production of the country. Despite being an agricultural country, food security of Pakistan has remained at stake since long because of poor yield and high post harvest losses caused by the storage pests. On the other hand country has a great exporting potential not only to achieve Millennium Development Goals (MDGs) relating to food security and safety but can earn foreign exchange and pay off country’s entire debts within 10 years just equaling our yield to that of Indian Punjab. Present investigations were, therefore, carried out to explore these potentials in terms of reducing post-harvest losses, food security and safety risks caused by the storage pests particularly the Khapra beetle which is a notified quarantine pest internationally. The studies revealed an average loss of 15.5 percent when 10 pairs of Khapra larvae were released for a period of 6 months under the natural conditions. Similarly there were found 33 and 8 percent increase in number of weeviled and broken grains, respectively. Besides, the beetle depleted approximately 4 percent carbohydrates that resulted in 0.35 and 1 percent increase in ash and crude fiber contents, respectively. Although total protein and fat percentages were slightly increased, yet these increases were predominantly due to the percentage loss of carbohydrates as well as production of proteinaceous by-products of live insects, insect fragments, and excreta etc., which could not be sieved from the samples before chemical analysis. Further analysis of about 400 samples drawn from the entire province revealed that quality of Punjab wheat not only meets the international standards rather it is superior in many characteristics including protein content, moisture, bulk density, foreign matter, falling number. However, presence of quarantine pests such as T. granarium, Tilletia spores and Striga weeds render it unmarketable in the quality conscious world. A compatible Wheat crop occupies a central position in agriculture sector and our national economy. Pakistan’s contribution toward global wheat production is about 3.2 percent. The Punjab province is leading producer of wheat with a share of more than 70 percent of the total wheat production of the country. Despite being an agricultural country, food security of Pakistan has remained at stake since long because of poor yield and high post harvest losses caused by the storage pests. On the other hand country has a great exporting potential not only to achieve Millennium Development Goals (MDGs) relating to food security and safety but can earn foreign exchange and pay off country’s entire debts within 10 years just equaling our yield to that of Indian Punjab. Present investigations were, therefore, carried out to explore these potentials in terms of reducing post-harvest losses, food security and safety risks caused by the storage pests particularly the Khapra beetle which is a notified quarantine pest internationally. The studies revealed an average loss of 15.5 percent when 10 pairs of Khapra larvae were released for a period of 6 months under the natural conditions. Similarly there were found 33 and 8 percent increase in number of weeviled and broken grains, respectively. Besides, the beetle depleted approximately 4 percent carbohydrates that resulted in 0.35 and 1 percent increase in ash and crude fiber contents, respectively. Although total protein and fat percentages were slightly increased, yet these increases were predominantly due to the percentage loss of carbohydrates as well as production of proteinaceous by-products of live insects, insect fragments, and excreta etc., which could not be sieved from the samples before chemical analysis. Further analysis of about 400 samples drawn from the entire province revealed that quality of Punjab wheat not only meets the international standards rather it is superior in many characteristics including protein content, moisture, bulk density, foreign matter, falling number. However, presence of quarantine pests such as T. granarium, Tilletia spores and Striga weeds render it unmarketable in the quality conscious world. A compatible Wheat crop occupies a central position in agriculture sector and our national economy. Pakistan’s contribution toward global wheat production is about 3.2 percent. The Punjab province is leading producer of wheat with a share of more than 70 percent of the total wheat production of the country. Despite being an agricultural country, food security of Pakistan has remained at stake since long because of poor yield and high post harvest losses caused by the storage pests. On the other hand country has a great exporting potential not only to achieve Millennium Development Goals (MDGs) relating to food security and safety but can earn foreign exchange and pay off country’s entire debts within 10 years just equaling our yield to that of Indian Punjab. Present investigations were, therefore, carried out to explore these potentials in terms of reducing post-harvest losses, food security and safety risks caused by the storage pests particularly the Khapra beetle which is a notified quarantine pest internationally. The studies revealed an average loss of 15.5 percent when 10 pairs of Khapra larvae were released for a period of 6 months under the natural conditions. Similarly there were found 33 and 8 percent increase in number of weeviled and broken grains, respectively. Besides, the beetle depleted approximately 4 percent carbohydrates that resulted in 0.35 and 1 percent increase in ash and crude fiber contents, respectively. Although total protein and fat percentages were slightly increased, yet these increases were predominantly due to the percentage loss of carbohydrates as well as production of proteinaceous by-products of live insects, insect fragments, and excreta etc., which could not be sieved from the samples before chemical analysis. Further analysis of about 400 samples drawn from the entire province revealed that quality of Punjab wheat not only meets the international standards rather it is superior in many characteristics including protein content, moisture, bulk density, foreign matter, falling number. However, presence of quarantine pests such as T. granarium, Tilletia spores and Striga weeds render it unmarketable in the quality conscious world. A compatible Wheat crop occupies a central position in agriculture sector and our national economy. Pakistan’s contribution toward global wheat production is about 3.2 percent. The Punjab province is leading producer of wheat with a share of more than 70 percent of the total wheat production of the country. Despite being an agricultural country, food security of Pakistan has remained at stake since long because of poor yield and high post harvest losses caused by the storage pests. On the other hand country has a great exporting potential not only to achieve Millennium Development Goals (MDGs) relating to food security and safety but can earn foreign exchange and pay off country’s entire debts within 10 years just equaling our yield to that of Indian Punjab. Present investigations were, therefore, carried out to explore these potentials in terms of reducing post-harvest losses, food security and safety risks caused by the storage pests particularly the Khapra beetle which is a notified quarantine pest internationally. The studies revealed an average loss of 15.5 percent when 10 pairs of Khapra larvae were released for a period of 6 months under the natural conditions. Similarly there were found 33 and 8 percent increase in number of weeviled and broken grains, respectively. Besides, the beetle depleted approximately 4 percent carbohydrates that resulted in 0.35 and 1 percent increase in ash and crude fiber contents, respectively. Although total protein and fat percentages were slightly increased, yet these increases were predominantly due to the percentage loss of carbohydrates as well as production of proteinaceous by-products of live insects, insect fragments, and excreta etc., which could not be sieved from the samples before chemical analysis. Further analysis of about 400 samples drawn from the entire province revealed that quality of Punjab wheat not only meets the international standards rather it is superior in many characteristics including protein content, moisture, bulk density, foreign matter, falling number. However, presence of quarantine pests such as T. granarium, Tilletia spores and Striga weeds render it unmarketable in the quality conscious world. A compatible treatment of are house with 2 % deltamethrin, Lambda cyhalothrin or DDVP. The present findings will surely help in bridging the gap between food security demand/supply and will enable us to improve quality and safety of the treated cereals resulting in enhanced acceptance of our food crops in the international market." xml:lang="en_US