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... Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics; Mathematical theory on gravitational fields; Mathemati...
... how the Zagreb indices, a particular case of Smarandache-Zagreb index of a graph changes with these operators and extended these results to obtain a relation connecting the Zagreb index on operators. Key Words: Subdivision graph, ladder graph, Smarandache-Zagreb index, Zagreb index, graph operators. ...
...SI Hypergraph Partitioning Using Taguchi Methods BY P.SUBBARAJ, S.SARAVANASANKAR and S.ANAND . . . . . . . . . . . . . . . . 69 Negation Switching Equivalence in Signed Graphs BY P.SIVA KOTA REDDY, K.SHIVASHANKARA and K.V.MADHUSUDHAN. . . . . . 85 Weak and Strong Reinforcement Number For a Graph BY PINAR DUNDAR, TUFAN TURACI and DERYA DOGAN. . . . . . . . . . . . . ....
.... . . . . . . . 70 Entire Semitotal-Point Domination in Graphs BY B.BASAVANAGOUD, S.M.HOSAMANI and S.H.MALGHAN. . . . . . . . . . . . . . .79 On k-Equivalence Domination in Graphs BY S.ARUMUGAM and M.SUNDARAKANNAN. . . . . . . . . . . . . . . . . . . . . . . 86 On Near Mean Graphs BY A.NAGARAJAN, A.NELLAI MURUGAN and S.NAVANEETHA KRISHNAN. . . . . . 94 On Pathos Lic...
... manifolds with higher dimension are inspired by the Riemann surfaces. The relation of maps with Riemann surfaces has been known in 80s in the last ce... ...etries, maps and the semi-arc automorphism group of a graph. Preface ii A relation for maps and Smarandache manifolds (abbreviated s-manifolds) and a... ...oted maps are established in this chapter. The last section determines the relation of the number of embeddings and rooted maps of a graph on genus. A... ...me for enumerating maps underlying a graph.........................17 §4 A relation among the total embeddings and rooted maps of a graph on genus20 4... ...pty boundary and to be analytic functions. Whence, we have the following relation: {Riemann Sufaces}⊂{Klein surfaces}. The upper half planeH ={z∈C|I... ...re exists an isomorphism ζ between them induced by an element ξ. Call ζ an equivalence between M 1 ,M 2 . Certainly, on an orientable surface, an equi... ...t1 2 Γ such that P ζ 1 = P 2 or P ζ 1 = P −1 2 . Proof By the definition of equivalence between maps, if κ is an equivalence between M 1 and M 2 , then... ...ducedtheconformalmappingbetween maps. Then, how can we define the conformal equivalence for maps enabling us to get the uniformiza- tion theorem of map...
...rosophy considers a proposition, theory, event, concept, or entity, "A" in relation to its opposite, "Anti- A" and that which is not A, "Non-A", and t... ...e more <A> increases, the more <Anti-A> decreases. One has the following relationship: <A>$<Anti-A> = k$<Neut-A>, where k is a constant depending ... ...onfusion between culture and civilization. Alfred Weber analyzed the relationship between the growth of knowledge (science, technology) and the... ...wey considers intelligence itself as a habit by which the man adjusts its relation to environment. It's a permanent circuit: ENVIRONMENT ... ... second one bringing about the death of sensation. Fechner's "functional relation", as well as later psychologists' power law R = k $S n , with n d... ...1} 0I 1 /I 1 ?I 2 , {1} 0F 1 /F 1 ?F 2 ). 2.9.6. Material biconditional (equivalence): NL(A 1 f A 2 ) = ( ({1} 0T 1 /T 1 ?T 2 ) ? ({1} 0T 2 /T 1 ?...
... } 0I 1 /I 1 ?I 2 , {1 + } 0F 1 /F 1 ?F 2 ). 2.3.6 Material biconditional (equivalence): NL(A 1 f A 2 ) = ( ({1 + } 0T 1 /T 1 ?T 2 ) ? ({1 + ... ...: [1] Atanassov, K., Burillo, P., Bustince, H., On the intuitionistic fuzzy relations, Notes on Intuitionistic Fuzzy Sets, Vol. 1 (1995), No. 2,... ....stanford.edu/mathematics-constructive/, 1997. [5] Buhaescu, T., On an order relation between fuzzy numbers and fuzzy functions convexity, Itinera... ...d Bel Bel Bel whenever and is called a Bayesian belief function. In such case, relation (21) coincides exactly with (10) and a probability function i... ... Connec tion of the DST with the Fuzzy Set Theory can be found in [5, 64]. The relationship between experimental observations and the DST belief func... ...a. Neutrosophy considers a proposition, theory, event, concept, or entitity, in relation to its opposite, anti and that which is not , non ,a n d th... ...itional neutrosophic logical operators like (strong disjunction, implica tion, equivalence, Sheffer’s and Pierce’s connectors) and general, physics a...
...lly, chapter four makes an introduction to neutrosophic logic, where the relationship between it and the other logics will be clear. 4 As alway... ...tions Section 2 The Law of the Excluded Middle Section 3 Logical Equivalence Section 4 Well-Formed Formulas or WFFs Section 5 An A... ...dent is false have a value of true. 14 Section 3 Logical Equivalence Definition 1.3.1: The propositions p and q are said to be l... ...to be logically equivalent if p ↔ q is a tautology. The notation for this relationship is p q. It is possible to show that two expressions... ...uth table. Examples: It is easy to verify each of the following logical equivalences ( p → q ) (¬ p \/ q ) ( p ↔ q ) ... ...pressions are taken to be true by assumption. d) There is a finite set of relations R 1 , R 2 , . . . , R n between sets of the wffs in S, called t... ... truth value of the expression is dependent on internal variables and the relationships between the features. For example, in the first expression, ... ...q could be defined as max{ p, q } and p /\ q as min { p, q }. Using the equivalence formulas (p → q) (¬p \/ q), ((p /\ q) \/ (¬p /\ ¬q)) ... ... The definitions of the connectives in table 3 are consistent with the equivalence formulas in classical logic. It is not necessary to maintain t...
...ith that energy being subject to the Doppler effect because of the Planck relationship E = h υ according to the factor (1- β)/√(1- β 2 ). [3] Putt... ...the electric current." A similar statement may apply to gravitons in their relation to mass. [3] A is sail area, p is light pressure, k = 2/c ... ...e traveler ages most!" The Galilean-Newtonian-Einsteinian principle of equivalence equates gravitation and acceleration fields, and the speed of ... ... field would be expected to stop completely. Finally by the principle of equivalence, the same thing would be expected to happen in an infinite acce...