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- Wei Gao, Muhammad Kamran Siddiqui, Muhammad Imran, Muhammad Kamran Jamil, Mohammad Reza Farahani
- Saudi pharmaceutical journal : SPJ : the official…
- 2016

A massive of early drug tests implies that there exist strong inner relationships between the bio-medical and pharmacology characteristics of drugs and their molecular structures. The forgotten topological index was defined to be used in the analysis of drug molecular structures, which is quite helpful for pharmaceutical and medical scientists to grasp the… (More)

- Omar Bin Saeed Al-Mushayt, Ali Ahmad, Muhammad Kamran Siddiqui
- Australasian J. Combinatorics
- 2012

An edge irregular total k-labeling of a graph G = (V,E) is a labeling φ : V ∪ E → {1, 2, . . . , k} such that the total edge-weights wt(xy) = φ(x) + φ(xy) + φ(y) are different for all pairs of distinct edges. The minimum k for which the graph G has an edge irregular total k-labeling is called the total edge irregularity strength of G. In this paper, we… (More)

- Ali Ahmad, Martin Baca, Yasir Bashir, Muhammad Kamran Siddiqui
- Ars Comb.
- 2012

- Muhammad Kamran Siddiqui, Muhammad Numan, Muhammad Awais Umar
- Mathematics in Computer Science
- 2013

- Ali Ahmad, Martin Baca, Muhammad Kamran Siddiqui
- Theory of Computing Systems
- 2013

An edge irregular total k-labeling φ:V(G)∪E(G)→{1,2,…,k} of a graph G=(V,E) is a labeling of vertices and edges of G in such a way that for any different edges xy and x′y′ their weights φ(x)+φ(xy)+φ(y) and φ(x′)+φ(x′y′)+φ(y′) are distinct. The total edge irregularity strength, tes(G), is defined as the minimum k for which G has an edge irregular total… (More)

- Muhammad Kamran Siddiqui, Muhammad Imran, Ali Ahmad
- Applied Mathematics and Computation
- 2016

Dendrimers are highly branched organic macromolecules with successive layers or generations of branch units surrounding a central core (Ashrafi and Mirzargar, 2008 [3]; Chen et al., 2014 [7]; Klajnert and Bryszewska, 2001 [26]; Yamamoto et al., 2002 [36]). These are key molecules in nanotechnology and can be put to good use. Topological indices are numbers… (More)

School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China Department of Applied Mathematics, Iran University of Science and Technology (IUST) Narmak, Tehran, 16844, Iran Department of Mathematics, Riphah Institute of Computing and Applied Sciences (RICAS) Riphah International University, 14 Ali Road Lahore, Pakistan… (More)

A total vertex irregular k-labeling φ of a graph G is a labeling of the vertices and edges of G with labels from the set {1, 2, . . . , k} in such a way that for any two different vertices x and y their weights wt(x) and wt(y) are distinct. Here, the weight of a vertex x in G is the sum of the label of x and the labels of all edges incident with the vertex… (More)

We investigate a modification of well known irregularity strength of graph, namely the total edge irregularity strength. An edge irregular total k-labeling φ : V ∪E → {1, 2, . . . , k} of a graph G is a labeling of vertices and edges of G in such a way that for any two different edges uv and u′v′ their weights φ(u)+φ(uv)+φ(v) and φ(u′)+φ(u′v′)+φ(v′) are… (More)

- Martin Baca, Muhammad Kamran Siddiqui
- Applied Mathematics and Computation
- 2014