00. Faculty Publications: Recent submissions

  • On m-independence in Graphs 
    Thakkar, D. K.; Jamvecha, Neha P. (Mathematical and Statistical Sciences, 2018)
    In this paper, we have defined the concepts of m-independent set, maximal m-independent set and maximum m-set. In order to define these concepts we have used the notion of m-adjacent vertices. Adjacent vertices are ...
  • On ve-quasi and secured ve-quasi independent sets of a graph 
    Thakkar, D. K.; Jamvecha, P. (Malaya Journal of Matematik, 2020)
    In this paper, we have defined the concepts of ve-quasi independent set and secured ve-quasi independent set. In order to define these concepts we have used the concept of a vertex which m-dominates an edge. We prove a ...
  • On total domination and total equitable domination in graphs 
    Vaidya, S. K.; Parmar, A. D. (Malaya Journal of Matematik, 2019)
    A dominating set D of a graph G is called total if every vertex of V (G) is adjacent to at least one vertex of D, equivalently if N(D) = V (G) then D is called total dominating set. A dominating set D is called total ...
  • Some More Results on Total Equitable Bondage Number of A Graph 
    Vaidya, S. K.; Parmar, A. D (Journal of Scientific Research, 2019)
    The bondage number of a nonempty graph is the minimum cardinality among all sets of edges for which. An equitable dominating set is called a total equitable dominating set if the induced subgraph has no isolated vertices. ...
  • INTERNATIONAL JOURNAL OF MATHEMATICAL COMBINATORICS EDITED 
    Mao, L. (International Journal of Mathematical Combinatorics, 2019)
    The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe, motivated by CC Conjecture of Dr.Linfan MAO on ...
  • SOME NEW RESULTS ON CHROMATIC TRANSVERSAL DOMINATION IN GRAPHS 
    Vaidya, S. K.; Parmar, A. D (Malaya Journal of Matematik, 2019)
    A proper k - coloring of a graph G is a function f : V (G) → {1, 2, ..., k} such that f (u) 6 = f (v) for all uv ∈ E(G). The color class Si is the subset of vertices of G that is assigned to color i. The chromatic number ...
  • On chromatic transversal domination in graphs 
    Vaidya, S. K; Parmar, A. D. (Malaya Journal of Matematik, 2019)
    A subset S of vertices of G is an open packing of G if the open neighborhoods of the vertices of S are pairwise disjoint in G while open packing number of G is the maximum cardinality among all the open packing sets of ...
  • Open Packing Number of Some Path Related Graphs 
    Vaidya, S. K.; Parmar, A. D. (Journal of Applied Science and Computations, 2019)
    A subset S of vertices of G is an open packing of G if the open neighborhoods of the vertices of S are pairwise disjoint in G while open packing number of G is the maximum cardinality among all the open packing sets of G. ...
  • Total Equitable Bondage Number of a Graph 
    Vaidya, S. K.; Parmar, A. D. (Journal of Scientific Research, 2018)
    If for any total dominating set D with v∈V(G) - D there exists a vertex u ∈ D such that uv∈E(G) and |d(v) - d(u)|≤ 1 then D is called the total equitable dominating set. The minimum cardinality of the total equitable ...
  • Restrained Edge Domination Number of Some Path Related Graphs 
    S. K., Vaidya; Ajani, P. D. (JOURNAL OF SCIENTIFIC RESEARCH, 2021)
    For a graph, a set is a restrained dominating (restrained edge dominating) set if every vertex (edge) not in S is adjacent (incident) to a vertex (edge) in S and to a vertex (edge) in The minimum cardinality of a restrained ...
  • Equitable restrained domination number of some 
    Vaidya, S. K.; Ajani, P. D. (Malaya Journal of Matematik, 2020)
    A dominating set is said to be a restrained dominating set of graph if every vertex not in is adjacent to a vertex in and also to a vertex in . A set is called an equitable dominating set if for every vertex , there exist ...
  • On restrained edge dominating set of graphs 
    Vaidya, S. K.; Ajan, P. D. (Malaya Journal of Matematik, 2020)
    For a graph G = (V, E), a subset D of E is restrained edge dominating set of G if every edge not in D is adjacent to an edge in D as well as an edge in E − D. The restrained edge domination number of G, denoted by γre(G) is ...
  • On restrained domination number of some wheel related graphs 
    S. K., Vaidya; Ajani, P. D. (Malaya Journal of Matematik, 219)
    For a graph G = (V, E), a set S ⊆ V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and also to a vertex in V − S. The minimum cardinality of a restrained dominating set of G is called ...
  • On Restrained Domination Number of Graphs 
    Vaidya, S.K .; Ajani, P D (International Journal of Mathematics and Soft Computing, 2018)
    For a graph G = (V, E), a set S ⊆ V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in V − S. The smallest cardinality of a restrained dominating set of G is called ...
  • PHYTOCHEMICAL EVALUATION, IN VITRO ANTIOXIDANT ACTIVITY AND IN-VIVO ANTIDIABETIC ACTIVITY OF ACACIA NILOTICA 
    Sadalage, N. A.; Baidya, M.; Kondrapu, P.; Ghiware, N.; Shaha, A. P.; Mayur, S.; Rajput, S. M. (Eur. Chem. Bull., 2023)
    In the current study, the total phenolic and flavonoid content, antioxidant activities, and antidiabetic activity of several leaf extracts from Acacia nilotica were assessed. Analysis of the extracts' phytochemical composition ...
  • AN EFFICIENT PROTOCOL FOR THE SYNTHESIS OF TETRAZOLE VIA BASE CATALYZED UGI-TYPE MCR 
    Shiyal, Mayur K.; Naliapara, Yogesh T. (World Journal of Pharmaceutical Research, 2019)
    Numerous diversity-oriented synthesis of tetrazole heterocycles have been demonstrated but most of them are based on point diversity within the same library and usually include slow sequential multistep synthesis, which ...
  • Stability indicating LC-MS/MS method and validation of Selexipag impurities and identification of its force degradation products 
    Shah, P.; Hadiyal, S.; Dhaduk, B. (Results in Chemistry, 2023)
    Selexipag belongs to a class of medicines known as IP prostacyclin receptor agonists used to treat pulmonary arterial hypertension. A simple and sensitive LC-MS/MS method has been developed for the identification of process ...
  • STABILITY INDICATING ISOCRATIC RP-HPLC AND SECOND DERIVATIVE UV SPECTROSCOPIC METHODS FOR SIMULTANEOUS DETERMINATION OF REMOGLIFLOZIN ETABONATE AND VILDAGLIPTIN HYDROCHLORIDE 
    Panchal, J.; Dhaduk, B.; Dhalani, J. (Rasayan Journal of Chemistry, 2023)
    Remogliflozin and Vildagliptin are the latest drug combination in order to treat type 2 diabetes. The present work describes a comparative study of 2nd-ordered derivative UV and isocratic stability indicating RP-HPLC methods ...
  • Anti-cancer Investigation of Newly Derived Alicyclic ring and Morpholine Supported Hybrid Molecules by Industrially viable Route 
    Kapadiya, K .; Pandya, M.; Rathod, C.; Dhalani, J.; Dhaduk, B. (Journal of Scientific & Industrial Research, 2018)
    In an attempt to design and synthesize a new class of anticancer molecules, we have reported coupling of aryl aldehyde, p-toluidine and morpholine based isocyanide with cyclopropane carboxylic acid to generate a small ...
  • Determination of Thermal Stability and Kinetic Parameters of 1,1’- bis(3-methyl-4-hydroxyphenyl)Cyclohexane by Thermo-Analytical Technique 
    Limbani, Vidhi; Godhasara, Bhagyashree; Jani, Foram; Dhaduk, Bhavin B. (nternational Journal of Scientific Research and Reviews, 2019)
    1,1’-bis(3-methyl-4-hydroxyphenyl)cyclohexane (MEBC) was synthesized by acid-catalysed condensation. The structure of compound was supported by 1H NMR and 13C NMR. The purity and mass of the compound can be confirmed by ...

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