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    On the Roman Domination Number of Graphs

    , Ph.D. Dissertation Sharif University of Technology Qajar, Sahar (Author) ; Akbari, Saeed (Supervisor)
    Abstract
    Let G be a graph. A labeling f : V (G) ! f0; 1; 2g is called a Roman dominating function, if every vertex u with f(u) = 0 has at least a neighbor v with f(v) = 2. Define the weight of a Roman dominating function f to be w(f) =Σv2V (G) f(v). The Roman domination number of G is R(G) = minfw(f) : f is a Roman dominating functiong. Some other parameters are defined based on Roman domination number. A Roman bondage number bR(G) of G is the minimum cardinality of all sets E E(G) for which R(G E) > R(G). The edge Roman domination number of G, LR(G), is defined as R(L(G)), where L(G) is the line graph of G. In this thesis, after determining the exact value of the Roman bondage number for some... 

    Optimal control of nonlinear multivariable systems

    , Article Iranian Journal of Chemistry and Chemical Engineering ; Volume 28, Issue 2 , 2009 , Pages 75-83 ; 10219986 (ISSN) Qajar, A ; Bozorgmehry Boozarjomehry, R ; Sharif University of Technology
    2009
    Abstract
    This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated nonlinear system has been controlled. Thus, the structure of the objective function will be converted into a quadratic form which is qualitativly comparable with usual cost functions, and from operating viewpoint is more favorable. To qualify such a procedure, it has been applied to two minimum and... 

    A note on the roman bondage number of planar graphs

    , Article Graphs and Combinatorics ; Volume 29, Issue 3 , 2013 , Pages 327-331 ; 09110119 (ISSN) Akbari, S ; Khatirinejad, M ; Qajar, S ; Sharif University of Technology
    2013
    Abstract
    A Roman dominating function on a graph G = (V(G), E(G)) is a labelling f: (V(G) → {0, 1, 2} satisfying the condition that every vertex with label 0 has at least a neighbour with label 2. The Roman domination number γR(G) of G is the minimum of σv∈V(G)f(v) over all such functions. The Roman bondage number bR(G) of G is the minimum cardinality of all sets for which γR(G E) > γR(G). Recently, it was proved that for every planar graph P, bR(P) ≤ Δ(P) + 6, where Δ(P) is the maximum degree of P. We show that the Roman bondage number of every planar graph does not exceed 15 and construct infinitely many planar graphs with Roman bondage number equal to 7  

    Dominating coloring number of claw-free graphs

    , Article Electronic Notes in Discrete Mathematics ; Vol. 45, issue , January , 2014 , pp. 91-97 ; ISSN: 15710653 Abdolghafurian, A ; Akbari, S ; Hossein Ghorban, S ; Qajar, S ; Sharif University of Technology
    2014
    Abstract
    Let G be a graph. It is well-known that G contains a proper vertex-coloring with χ(G) colors with the property that at least one color class of the coloring is a dominating set in G. Among all such proper vertex-coloring of the vertices of G, a coloring with the maximum number of color classes that are dominating sets in G is called a dominating-χ-coloring of G. The number of color classes that are dominating sets in a dominating-χ-coloring of G is defined to be the dominating-χ-color number of G and is denoted by dχ(G). In this paper, we prove that if G is a claw-free graph with minimum degree at least two, then dχ(G)≥2  

    Conditions for regularity and for 2-connectivity of Toeplitz graphs

    , Article Utilitas Mathematica ; Volume 110 , 2019 , Pages 305-314 ; 03153681 (ISSN) Akbari, S ; Ghorban, S. H ; Malik, S ; Qajar, S ; Sharif University of Technology
    Utilitas Mathematica Publishing Inc  2019
    Abstract
    Let 1 < ti < t2 < ••• < th < n. A Toeplitz graph G = (V,E) denoted by Tn(tiy ..., f) is a graph where V = {1,. .. ,n} and E = {(m) I i-JI. • • >}}•this paper, we classify all regular Toeplitz graphs. Here, we present some conditions under which a Toeplitz graph has no cut-edge and cut-vertex  

    Design and Synthesis of a Drug Delivery System Based on Mesoporous Bioactive Glass

    , M.Sc. Thesis Sharif University of Technology Mirsafaie, Sahar Sadat (Author) ; Abdekhodaie, Mohammad Jafar (Supervisor)
    Abstract
    The aim of this research is to develop a smart mesoporous bioactive glass-based carrier for targeted drug delivery to cancer cells, particularly bone cancer cells. To achieve this, mesoporous bioactive glass nanoparticles were first synthesized, followed by surface modification with amine groups. To prevent premature drug release before reaching the target tissue and to introduce pH sensitivity, the nanoparticle pores were coated with oxidized hyaluronic acid via Schiff-base bonding with the amine groups on the surface. The use of hyaluronic acid facilitates active targeting of CD44 receptors, which are overexpressed on the surface of cancer cells compared to healthy cells. This process... 

    Electrodeposition of Pt nanostructures and its Application as Glucose Sensor

    , Ph.D. Dissertation Sharif University of Technology Mahshid, Sahar Sadat (Author) ; Dolati, Abolghasem (Supervisor) ; Ghorbani, Mohammad (Supervisor)
    Abstract
    The present work describes sensing application of modified Pt nanostructures towards detection of glucose. Modified Pt nanostructured electrodes were prepared using electrodeposition method such as chronoampermetry and potentiostatic pulse methods. The electrodeposition of Pt nanostructures was first studied by voltammetry and amperommetry techniques and then potentiostatic pulse method has been used to produce the alloyed structures of platinum. In this regard, the first electrode was proposed based on alloyed Pt/Ni nanowire arrays (NWAs) for the non-enzymatic detection of glucose. The Pt/Ni NWAs were prepared by pulse electrodeposition of Pt and Ni within a nano-pore polycarbonate (PC)... 

    Quantum Estimation of Open Systems Using Extended Cramer-Rao Bounds

    , M.Sc. Thesis Sharif University of Technology Mehboudi, Mohammad (Author) ; Rezakhani, Ali (Supervisor) ; Alipour, Sahar (Co-Advisor)
    Abstract
    Any physical system is characterized with some set of quantities or parameters, knowing which, is equivalent to estimation of the system. Evaluating such parameters is usually done using tomography methods. An important question to ask, is how to increase the precision of measurement, being able to do some specific set of physical operations, say, measurement?
    this question is more important in parameter estimation in quantum meanical systems. It has been shown that, quantum meanics causes a fundamental limit, on precision of estimating su parameters, escribed by the so called “antum Cramér-Rao bound”.We must note that almost all quantum meanical systems are interacting with the... 

    Selective Transfection of Smart Polymeric Nanoparticles Into Reactive Astrocytes in Animal Model of Spinal Cord Injury

    , Ph.D. Dissertation Sharif University of Technology Sabourian, Parinaz (Author) ; Frounchi, Masoud (Supervisor) ; Mashayekhan, Shohreh (Co-Supervisor) ; Kiani, Sahar (Co-Supervisor)
    Abstract
    In this study, chitosan-based nanoparticles were prepared due to their biocompatibility, availability, high loading capacity of drug, stimulus responsive behavior and the presence of active functional groups. Chitosan was chemically functionalized with reactive oxygen species (ROS)-responsive moiety to respond to the oxidative stess and endosomal pH in nerve injuries. To prepare nanoparticles, functinalized chitosan ionically gelated with pH-responsive polyanions with ROS-scavenging properties such as polyacrylic acid and hyaluronic acid. Then, pH- and ROS-responsive nanoparticles were used for selective transfection into reactive astrocytes and axonal regeneration in spinal cord injuries.... 

    Nanogold imprinted starch bionanocomposites for food packaging applications

    , Article Starch Based Nanomaterials for Food Packaging: Perspectives and Future Prospectus ; 2023 , Pages 209-226 ; 978-044318967-8 (ISBN); 978-044318968-5 (ISBN) Tariq, T ; Saleem, I. M ; Sahar, A ; Raza, N ; Sameen, A ; Nayik, G. A ; Ramniwas, S ; Sharif University of Technology
    Elsevier  2023
    Abstract
    Food science researchers are concerned about global food wastage due to decreased shelf life. It has been shown that using approaches based on nanotechnology, including metal-based nanoparticles (NPs), can alleviate the issues with decreased shelf life and environmental problems. Gold nanoparticles (AuNPs) and their synthesis have seen notable advancements in the last several decades. AuNPs are now utilised more often in industrial and medicinal settings. AuNPs are being employed in the nanopackaging industry as a recently adopted technique because of their medicinal and antibacterial properties and their inert and hypoallergenic nature. When employed in the food industry, AuNPs have...