JAEM 2020, Vol 10, No 2JAEM 2020, Vol 10, No 2 koleksiyonunu içerir.https://hdl.handle.net/11729/24092024-03-28T11:52:09Z2024-03-28T11:52:09ZPartition energy of some trees and their generalized complementsSampathkumar, E.Roopa, S. V.Vidya, K. A.Sriraj, M. A.https://hdl.handle.net/11729/28402021-07-06T10:19:24Z2020-01-01T00:00:00ZPartition energy of some trees and their generalized complements
Sampathkumar, E.; Roopa, S. V.; Vidya, K. A.; Sriraj, M. A.
Let G = (V, E) be a graph and Pk = {V1, V2, . . . , Vk} be a partition of V . The k-partition energy of a graph G with respect to partition Pk is denoted by EPk (G) and is defined as the sum of the absolute values of k-partition eigenvalues of G. In this paper we obtain partition energy of some trees and their generalized complements with respect to equal degree partition. In addition, we develop a matlab program to obtain partition energy of a graph and its generalized complements with respect to a given partition.
2020-01-01T00:00:00ZFuzzy perfect equitable domination excellent treesSumathi, R.Sujatha, RamalingamSundareswaran, R.https://hdl.handle.net/11729/28392021-07-06T10:22:01Z2020-01-01T00:00:00ZFuzzy perfect equitable domination excellent trees
Sumathi, R.; Sujatha, Ramalingam; Sundareswaran, R.
A set D of vertices of a fuzzy graph G is a Perfect Dominating set if every vertex not in D is adjacent to exactly one vertex in D. In this paper, we discuss the concept of equitable excellent fuzzy graph, fuzzy equitable excellent dominating set γᵉᶠ. We introduce fuzzy perfect equitable excellent dominating set γp(G) - set and then Construction of perfect equitable excellent fuzzy tree is discussed.
2020-01-01T00:00:00ZOn ruled non-degenerate surfaces with Darboux frame in Minkowski 3-spaceŞentürk, Gülsüm YelizYüce, Salimhttps://hdl.handle.net/11729/28382021-07-06T10:23:01Z2020-01-01T00:00:00ZOn ruled non-degenerate surfaces with Darboux frame in Minkowski 3-space
Şentürk, Gülsüm Yeliz; Yüce, Salim
In this paper, ruled non-degenerate surfaces with respect to Darboux frame are studied. Characterization of them which are related to the geodesic torsion, the normal curvature and the geodesic curvature with respect to Darboux frame are examined. Furthermore, some special cases of non-null rulings are demonstrated according to Frenet frame {T, N, B} with Darboux frame {T, g, n}. Finally, the integral invariants of these surfaces are examined.
2020-01-01T00:00:00ZNumerical range and sub-self-adjoint operatorsBouzenada, SmailChettouh, Raoudahttps://hdl.handle.net/11729/28372021-07-06T10:23:52Z2020-01-01T00:00:00ZNumerical range and sub-self-adjoint operators
Bouzenada, Smail; Chettouh, Raouda
In this paper, we show that the numerical range of a bounded linear operatör T on a complex Hilbert space is a line segment if and only if there are scalars λ and µ such that T ∗ = λT + µI, and we determine the equation of the straight support of this numerical range in terms of λ and µ. An operator T is called sub-self-adjoint if their numerical range is a line segment. The class of sub-self-adjoint operators contains every self-adjoint operator and contained in the class of normal operators. We show that this class is uniformly closed, invariant under unitary equivalence and invariant under affine transformation. Some properties of the sub-self-adjoint operators and their numerical ranges are investigated.
2020-01-01T00:00:00Z