APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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Commutative Medial Near Ring
Full text linkWe deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with. It is shown that every medial near ring is commutative whenever cancellation law holds. Commutative medial near ring is left medial, right medial, reverse, reverse medial, reverse left medial and reverse right medial. It is proved that a non-trivial left medial regular near ring is reduced. Also, a structure theorem has been obtained
Some Topological Properties Of Revised Fuzzy Cone Metric Spaces
Full text linkIn this paper, we introduced Revised fuzzy cone Metric space with its topological properties. Likewise A necessary and sufficient condition for a Revised fuzzy cone metric space to be precompact is given. We additionally show that each distinct Revised fuzzy cone metric space is second countable and that a subspace of a separable Revised fuzzy cone metric space is separable
Superior Eccentric Domination Polynomial
Full text linkIn this paper we introduce the superior eccentric domination polynomial where |sed(G, l)| is the number of all distinct superior eccentric dominating sets with cardinality l and is superior eccentric domination number. We find SED(G, φ) for different standard graphs. Results are presented
Domination in m− polar soft fuzzy graphs
Full text linkIn this paper, we have introduced dominating set, minimal dominating set, independent dominating set, maximal independent dominating set in m − polar soft fuzzy graphs. We proved theorems and also some properties of dominating set in m− polar soft fuzzy graphs
Detour self-decomposition of corona product of graphs
Full text linkDecomposition of a graph G is the collection of edge-disjoint subgraphs of G. The longest distance between any two vertices of G is its detour distance. A subset S of V (G) is a detour set if every vertex of G lie on some u − v detour path, where u, v ∈ S. If a graph G can be decomposed into subgraphs G1,G2, ...,Gn with same detour numberas G then the decomposition Π = (G1,G2, ...,Gn) is called detour self-decomposition. The cardinality of maximum such possibility of detour self-decomposition in G is the detour self-decomposition number of G and is denoted by πsdn(G). The bounds of detour selfdecomposition number of corona product of graphs based on few properties have been discussed here
Strongly*-2 Divisor Cordial Labeling of Cycle Related Graphs
Full text linkA strongly*-2 divisor cordial labeling of a graph G with the vertex set V (G) is a bijection a : V (G) → {1, 2, 3, ..., |V (G)|} such that each edge cd assigned the label 1 if the lower integal value of sum of a(c), a(d) and a(c)a(d) divided by 2 is odd and 0 if lower integal value of sum of a(c), a(d) and a(c)a(d) divided by 2 is even, then the number of edges labeled with 0 and the number of edges labeled with 1 differs by atmost 1 or |ea(0) − ea(1)| ≤ 1 where ea(0) denotes the number of edges labeled with 0 and ea(1) denotes the number of edges labeled with 1. A graph which admits a strongly*-2 divisor cordial labeling is called a srongly*-2 divisor cordial graph. In this paper, we prove that the wheel graph Wg and sunflower graph SFg are strongly*-2 divisor cordial graphs
A New Form Of Continuity In Fuzzy Soft Topological Spaces
Full text linkThe current work introduces a new class of fuzzy soft B continuous functions such as slightly b continuous, semi b continuous, pre b continuous functions and their relation withthe existing fuzzy soft continuous functions in fuzzy soft topological spaces. Further optimal definitions of totally b continuous functions have also been brought out in the paper. A new space such as fuzzy soft b compact space is also initiated
Ng*s-Continuous functions in Nano Topological Spaces
No full textThe aim of this paper is to introduces N????̂*s-continuous function in nano topological spaces and we also study the relation between N????̂*s-irresolute functions and N????̂*s-continuous functions in different closed sets
Edge Coloring Of Complement Bipolar Fuzzy Graphs
No full textAbstract: Graph coloring is one of the most important problems of combinatorial optimization. Many problems of practical interest can be modeled as coloring problems. Two types of coloring namely vertex coloring and edge coloring are usually associated with any graph. In this paper, we analyze edge coloring on complement BFGs using concept of as bipolar fuzzy numbers through the cuts of BFGs. For different values of cuts which depend on edge and vertex membership value of the graph, we will get different graph and different chromatic number
On Ideals in Partially Ordered Ternary Semigroups
Full text linkThe concept of ideals has been extensively studied through various algebraic structures such as near-rings, involution rings, regular rings, gamma-rings, semigroups, ordered semigroups, ternary semigroupsand ordered ternary semigroups. In this article, we have investigated some intriguing properties of ideals, bi-ideals and pseudo symmetric ideals in partially ordered ternary semigroup T. We establish conditions for (UV W] to be an ideal, bi-ideal and pseudo symmetric ideal of T, where U, V, W are non-empty subsets of T. We prove that the family P of all pseudo symmetric ideals of T forms a Moore family of subsets of T. We also prove that the collection P of all pseudo symmetric ideals of T is a Brouwerian lattice. Also we define a pseudosymmetric partially ordered ternary semigroup