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Browsing 01. Journal Articles by Title

Browsing 01. Journal Articles by Title

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  • 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 χ(G) ...
  • 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 ...
  • VAIDYA, SAMIR K; POPAT, KALPESH M (2018-06-15)
    The eigenvalue of a graph G is the eigenvalue of its adjacency matrix and the energy E(G) is the sum of absolute values of eigenvalues of graph G. Two non-isomorphic graphs G1 and G2 of the same order are said to be ...
  • Rachchh, Kashyap G.; Soneji, Asfak A.; Ghanchi, Sajeed I. (Journal of Emerging Technologies and Innovative Research, 2020-12)
    We introduced Kasaj topological spaces which is a partial extension of Micro topological space which is introduced by S. Chandrasekar. We also analyzed basic properties of some weak open sets in Kasaj topological spaces. ...
  • Rachchh, K. G.; Soneji, A. A; Ghanchi, S. I. (Journal of Emerging Technologies and Innovative Research, 2020)
    We introduced Kasaj topological spaces which is a partial extension of Micro topological space which is introduced by S. Chandrasekar. We also analyzed basic properties of some weak open sets in Kasaj topological spaces. ...
  • Rachchh, Kashyap G.; Ghanchi, Sajeed I. (Malaya Journal of Matematik, 2020-10)
    In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes of weak ...
  • Kashyap, G.; Sajeed, I. (Malaya Journal of Matematik, 2020)
    In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes of weak ...
  • Rachchh, Kashyap G.; Soneji, Asfak A.; Ghanchi, Sajeed I. (Journal of Emerging Technologies and Innovative Research, 2020-12)
    Recently, We defined Kasaj-topological space and weak open sets namely Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta-open sets in Kasaj topological spaces and analyzed their basic properties. ...
  • . Rachchh, Kashyap G; Ghanchi, Sajeed I.; Soneji, Asfak A. (Journal of Emerging Technologies and Innovative Research, 2020)
    Abstract : Recently, We defined Kasaj-topological space and weak open sets namely Kasaj-pre-open sets, Kasaj-semi-open sets, Kasaj-alpha-open sets, Kasaj-beta-open sets in Kasaj topological spaces and analyzed their basic ...
  • Vasoya, Payal (South East Asian Journal of Mathematics and Mathematical Sciences, 2022)
    A radio labeling of a graph $G$ is a function $f$ from the set of vertices $V(G)$ to the set of non-negative integers such that $|f(u)-f(v)|\geq \diam(G) + 1 - d(u,v)$ for every pair of distinct vertices $u,v$ of $G$. The ...
  • Thakkar, D. K.; Jamvecha, Neha P. (International Journal of Scientific Research, 2019)
    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 ...
  • 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 ...
  • 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 ...
  • Vaidya, S. K; Ajani, P. D (Malaya Journal of Matematik,, 2019)
    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 ...
  • Vaidya, S.K.; Ajani, P.D. (Malaya Journal of Matematik, 2019)
    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 ...
  • Vaidya, S.K.; Ajani, 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 ...
  • 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 ...
  • Rathee, S; Swami, M. (J. Math. Comput. Sci, 2021)
    The fundamental motivation behind this paper is to solve variational inequality for SM-iterative method under some gentle conditions. We focus on calculating the common results of variational inequality and of SM-iteration. ...
  • Vaidya, S.K.; Parmar, A.D. (Malaya Journal of Matematik, 2018)
    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 ...
  • Vaidya, S. K.; Parmar, A. D. (Malaya Journal of Matematik, 2018)
    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. ...

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