Search Results - "Nizami, Abdul Rauf"

Metric Dimension of Generalized Möbius Ladder and its Application to WSN Localization by Idrees, Muhammad, Ma, Hongbin, Wu, Mei, Nizami, Abdul Rauf, Munir, Mobeen, Ali, Sajid

“…Localization is one of the key techniques in wireless sensor network. While the global positioning system (GPS) is one of the most popular positioning…”
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A RECURRENCE RELATION FOR THE JONES POLYNOMIAL by Berceanu, Barbu, Nizami, Abdul Rauf

“…Using a simple recurrence relation, we give a new method to compute the Jones polynomials of closed braids: we find a general expansion formula and a rational…”
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Numerical simulations on scale-free and random networks for the spread of COVID-19 in Pakistan by Rafiq, Muhammad, Nizami, Abdul Rauf, Baleanu, Dumitru, Ahmad, Nadeem

“…Epidemiology is the study of how and why an infectious disease occurs in a group of people. Several epidemiological models have been developed to get…”
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M-Polynomials and Topological Indices of Titania Nanotubes by Munir, Mobeen, Nazeer, Waqas, Nizami, Abdul Rauf, Rafique, Shazia, Kang, Shin Min

“…Titania is one of the most comprehensively studied nanostructures due to their widespread applications in the production of catalytic, gas sensing, and…”
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Some Computational Aspects of Boron Triangular Nanotubes by Munir, Mobeen, Nazeer, Waqas, Rafique, Shazia, Nizami, Abdul Rauf, Kang, Shin Min

“…The recent discovery of boron triangular nanotubes competes with carbon in many respects. The closed form of M-polynomial of nanotubes produces closed forms of…”
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M-polynomials and topological indices of hex-derived networks by Kang, Shin Min, Nazeer, Waqas, Zahid, Manzoor Ahmad, Nizami, Abdul Rauf, Aslam, Adnan, Munir, Mobeen

“…Hex-derived network has a variety of useful applications in pharmacy, electronics, and networking. In this paper, we give general form of the M-polynomial of…”
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Wiener and Hyper-Wiener Indices of Polygonal Cylinder and Torus by Peng, Zhi-Ba, Nizami, Abdul Rauf, Iqbal, Zaffar, Munir, Muhammad Mobeen, Waqar Ahmed, Hafiz Muhammad, Liu, Jia-Bao

“…In this study, we first introduce polygonal cylinder and torus using Cartesian products and topologically identifications and then find their Wiener and…”
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Some Invariants of Jahangir Graphs by Munir, Mobeen, Nazeer, Waqas, Kang, Shin Min, Qureshi, Muhammad Imran, Nizami, Abdul Rauf, Kwun, Youl Chel

“…In this report, we compute closed forms of M-polynomial, first and second Zagreb polynomials and forgotten polynomial for Jahangir graphs Jn,m for all values…”
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A RECURRENCE RELATION FOR THE JONES POLYNOMIAL by Berceanu, Barbu, Nizami, Abdul Rauf

“…Using a simple recurrence relation, we give a new method to compute the Jones polynomials of closed braids: we find a general expan- sion formula and a…”
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On right-angled spherical Artin monoid of type Dn by Iqbal, Zaffar, Nizami, Abdul Rauf, Munir, Mobeen, Rabia, Amlish, Kang, Shin Min

“…Recently Berceanu and Iqbal proved that the growth rate of all the spherical Artin monoids is bounded above by 4. In this paper we compute the Hilbert series…”
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Several Topological Invariants of Generalized Möbius Ladder by Idrees, Muhammad, Ma, Hongbin, Amin, Numan, Rauf Nizami, Abdul, Iqbal, Zaffar, Ali, Saiid

“…The Hosoya polynomial of a graph G was introduced by H. Hosoya in 1988 as a counting polynomial, which actually counts the number of distances of paths of…”
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WALK POLYNOMIAL: A New Graph Invariant by Nizami, Abdul Rauf, Perveen, Afshan, Nazeer, Waqas, Baqir, Mahnoor

“…In this paper we introduce the walk polynomial to find the number of walks of different lengths in a simple connected graph. We also give the walk polynomial…”
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Khovanov Homology of Three-Strand Braid Links by Kwun, Young, Nizami, Abdul, Munir, Mobeen, Iqbal, Zaffar, Arshad, Dishya, Min Kang, Shin

“…Khovanov homology is a categorication of the Jones polynomial. It consists of graded chain complexes which, up to chain homotopy, are link invariants, and…”
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Some Metrical Properties of Lattice Graphs of Finite Groups by Liu, Jia-Bao, Munir, Mobeen, Munir, Qurat-ul-Ain, Nizami, Abdul Rauf

“…This paper is concerned with the combinatorial facts of the lattice graphs of Z p 1 × p 2 × ⋯ × p m , Z p 1 m 1 × p 2 m 2 , and Z p 1 m 1 × p 2 m 2 × p 3 1 …”
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Erratum to: Reverse Poincaré-type inequalities for the difference of superharmonic functions by Pečarić, Josip, Shoaib Saleem, Muhammad, Ur Rehman, Hamood, Nizami, Abdul Rauf, Hussain, Abid

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Some Recurrence Relations and Hilbert Series of Right-Angled Affine Artin Monoid M(D~n∞) by Riaz, Sana, Munir, Mobeen, Nizami, Abdul Rauf, Iqbal, Zaffar, Kwun, Young Chel, Kang, Shin Min

“…We find the Hilbert series of the right-angled affine Artin monoid M(D~n∞). We also discuss its recurrence relation and the growth rate…”
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Recurrence Relations and Hilbert Series of the Monoid Associated with Star Topology by Azam, Faiza, Munir, Mobeen, Nizami, Abdul Rauf, Iqbal, Zaffar, Tang, Jiang-Hua, Liu, Jia-Bao

“…Affine monoids are the considered as natural discrete analogues of the finitely generated cones. The interconnection between these two objects has been an…”
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Reverse Poincaré-type inequalities for the weak solution of system of partial differential inequalities by Shoaib Saleem, Muhammad, Pečarić, Josip, Rehman, Hamood Ur, Nizami, Abdul Rauf, Hussain, Abid

“…In this work we develop the square integral estimates for the functions of n variables which are subharmonic with respect to some variables and for other…”
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Complete presentation and Hilbert series of the mixed braid monoid $MB_{1,3} by Iqbal, Zaffar, Munir, Muhammad Mobeen, Ayub, Maleeha, Nizami, Abdul Rauf

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Numerical simulations with mitigation strategies on Barabási–Albert network for the spread of coronavirus in Pakistan by Nizami, Abdul Rauf, Rafiq, Muhammad, Inc, Mustafa, Alotaibi, Hammad, Ahmad, Nadeem

“…Since its emergence in China in 2019, the coronavirus has exerted its impact on every nation. Throughout this period, epidemiological models have been employed…”
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