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سدرہ کا مکیں چومے سرکارؐ کے قدموں کو
ﷺ
سدرہ کا مکیں چومے سرکارؐ کے قدموں کو
جبریلِ امیں چومے سرکارؐ کے قدموں کو
سدرہ سے بھی آگے کی رفعت کو چھو آئے
جو خاک نشیں چومے سرکارؐ کے قدموں کو
آفاق بھی کیوں رہتے محروم سعادت سے
جب روئے زمیں چومے سرکارؐ کے قدموں کو
قبلہ کبھی اقصیٰ سے کعبہ نہیں ہو سکتا
جب تک نہ جبیں چومے سرکارؐ کے قدموں کو
سلمانؓ کی قسمت میں برسوں کی مسافت تھی
صدیقؓ وہیں چومے سرکارؐ کے قدموں کو
عرفانؔ کی پلکوں کی حسرت ہی رہی لیکن
طیبہ کی زمیں چومے سرکارؐ کے قدموں کو
فقہی احکام کے استنباط میں علت کا کردار
The Quran is the complete code of life and the fountainhead of guidance for all peoples till the last Day. When the Quran itself does not speak directly or in detail about a certain subject, Muslims only then turn to alternative sources of Islamic Law is this way the companions of the Prophet Muhammad (BPUH) would asking Him when they were not able to find a specific legal ruling in the Quran in spite they were Arabians. With the passage of time slowly gradually new issues and problems are to be faced by peoples in different times. Sometimes the companions & the followers not only salved those issues & problems in the light of Quran & Sunnah, but also played a significant role in such cases. To find the solution of any problem in the light of primary sources of Islam is called Etiology. Etiology has a significant role in the Sharia’s sources of analogy. To illustrate this, analogical reasoning can be viewed in this article.On Irregular Total and Graceful Labelings
A graph labeling is an assignment of integer label to the elements of graph in such a way that some certain conditions are satisfied. If the domain set consists only vertices (or edges) then it is called vertex (or edge) labeling respectively. If the domain set consists vertices and edges then it is called total labeling. A graceful labeling of a (p, q)-graph is an injection f from the set of vertices to the set {1, 2, . . . , q + 1} such that each edge uv is assigned the label |f (u) − f (v)|, the resulting edge labels are distinct. Moreover if f has the property that there exists an integer λ such that for each edge uv either f (u) ≤ λ < f (v) or f (v) ≤ λ < f (u) then f is called an α-labeling. A one-to-one map taking the vertices on the integers 1, 2, 3, . . . , p with the property that the edge weight (sum of end points labels ) form an arithmetic progression starting from a and having common difference d, is called (a, d)-edge antimagic vertex labeling. A total k-labeling of a graph G is a labeling from the set of vertices and edges to the set {1, 2, . . . , k}. A total k-labeling is defined to be an edge irregular total k-labeling of the graph G if edge weights are different for all pairs of distinct edges. The minimum value of k for which the graph G has an edge irregular total k- labeling is called the total edge irregularity strength of the graph G, denoted by tes(G). In this thesis, we construct an α-labeling of trees from graceful labeling of smaller trees and using a connection between α-labeling and edge antimagic vertex labeling we obtain a super (a, d)-edge antimagic total labeling of trees. Moreover we present new results on the total edge irregularity strength.Journals by Discipline
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