EDGE ODD GRACEFUL LABELING OF SOME FLOWER PETAL GRAPHS

2020 ◽  
Vol 9 (11) ◽  
pp. 9523-9525
Author(s):  
B. Ambika ◽  
G. Balasubramanian
Keyword(s):  
Special Class ◽  
Edge Incident ◽  
Graceful Labeling ◽  
Flower Petal ◽  
Alpha Beta ◽  
Edge Labeling

A labeling of a graph $G$ with $\alpha$ vertices and $\beta$ edges called an edge odd graceful labeling if there is an edge labeling with odd numbers to all edges such that each vertex is assigned a label which is the sum $\mod (2\gamma)$ of labels of edge incident on it, where $\gamma=max\{\alpha,\beta\}$ and the induced vertex labels are distinct. In this paper, we discussed about edge odd gracefulness of some special class of flower petal graphs.

scholarly journals Graceful Labeling of Hypertrees

2021 ◽  
Vol 13 (1) ◽  
pp. 28
Author(s):  
H. El-Zohny ◽  
S. Radwan ◽  
S.I. Abo El-Fotooh ◽  
Z. Mohammed
Keyword(s):  
Graph Theory ◽  
Simple Graph ◽  
Graph Labeling ◽  
Graceful Labeling ◽  
Edge Labeling

Graph labeling is considered as one of the most interesting areas in graph theory. A labeling for a simple graph G (numbering or valuation), is an association of non -negative integers to vertices of G  (vertex labeling) or to edges of G  (edge labeling) or both of them. In this paper we study the graceful labeling for the k- uniform hypertree and define a condition for the corresponding tree to be graceful. A k- uniform hypertree is graceful if the minimum difference of vertices’ labels of each edge is distinct and each one is the label of the corresponding edge.

scholarly journals Edge Even Graceful Labeling of Cylinder Grid Graph

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 584 ◽  
Author(s):  
Ahmed A. Elsonbaty ◽  
Salama Nagy Daoud
Keyword(s):  
Undirected Graph ◽  
Grid Graph ◽  
Explicit Formulas ◽  
Graceful Labeling ◽  
Grid Graphs ◽  
The Family ◽  
Edge Labeling

Edge even graceful labeling (e.e.g., l.) of graphs is a modular technique of edge labeling of graphs, introduced in 2017. An e.e.g., l. of simple finite undirected graph G = ( V ( G ) , E ( G ) ) of order P = | ( V ( G ) | and size q = | E ( G ) | is a bijection f : E ( G ) → { 2 , 4 , … , 2 q } , such that when each vertex v ∈ V ( G ) is assigned the modular sum of the labels (images of f ) of the edges incident to v , the resulting vertex labels are distinct mod 2 r , where r = max ( p , q ) . In this work, the family of cylinder grid graphs are studied. Explicit formulas of e.e.g., l. for all of the cases of each member of this family have been proven.

scholarly journals On holomorphic functions with certain extremal properties of its absolute values

1981 ◽  
Vol 4 (4) ◽  
pp. 641-647
Author(s):  
Dieter Schmersau
Keyword(s):  
Complex Plane ◽  
Special Class ◽  
Holomorphic Functions ◽  
Geometrical Characterization ◽  
Line Segments ◽  
Alpha Beta ◽  
Closed Line ◽  
Extremal Properties

This paper is concerned with a special class of holomorphic functions with extremal properties of its absolute values on arbitrary closed line segments in the complex plane. The main result is a geometrical characterization of the functionsz→eaz+b,z→(az+b)nandz→(az+b)α+iβwitha,b,∈ℂ,α,β∈ℝ,n∈ℤ.

A SPECIAL CLASS OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

2020 ◽  
Vol 27 (1) ◽  
pp. 1-13
Author(s):  
M. K. Aouf
Keyword(s):  
Unit Disc ◽  
Special Class ◽  
Univalent Functions ◽  
Alpha Beta ◽  
Special Classes

There are many special classes of univalent functions in the unit disc U. In this paper, we consider the special class P(A, B, alpha, beta, -1 <= B < A <= 1, - 1 <= B <= 0, 0 < =alpha < 1 and 0 < beta <= 1, of univalent functions in the unit disc U. And it is the purpose of this paper to show some properties of this class.

scholarly journals A SPECIAL CLASS OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

1996 ◽  
Vol 27 (1) ◽  
pp. 1-13
Author(s):  
M. K. AOUF
Keyword(s):  
Unit Disc ◽  
Special Class ◽  
Univalent Functions ◽  
Alpha Beta ◽  
Special Classes

There are many special classes of univalent functions in the unit disc $U$. In this paper, we consider the special class $P^*(A,B,\alpha,\beta)$, $-1\le B<A \le 1$, $-1 \le B < 0$, $0 \le\alpha < 1$ and $0 < \beta\le 1$, of univalent functions mthe umt disc $U$. And it is the purpose of this paper to show some properties of this class.

Phase Transformations in Ti-7w/oMo-3w/oMe Alloy

1974 ◽  
Vol 32 ◽  
pp. 514-515
Author(s):  
S. Fujishiro
Keyword(s):  
Electron Microscopy ◽  
Mechanical Properties ◽  
Transmission Electron Microscopy ◽  
Tensile Strength ◽  
Mechanical Processing ◽  
Ray Method ◽  
X Ray ◽  
Transmission Electron ◽  
Water Quench ◽  
Alpha Beta

The mechanical properties of three titanium alloys (Ti-7Mo-3Al, Ti-7Mo- 3Cu and Ti-7Mo-3Ta) were evaluated as function of: 1) Solutionizing in the beta field and aging, 2) Thermal Mechanical Processing in the beta field and aging, 3) Solutionizing in the alpha + beta field and aging. The samples were isothermally aged in the temperature range 300° to 700*C for 4 to 24 hours, followed by a water quench. Transmission electron microscopy and X-ray method were used to identify the phase formed. All three alloys solutionized at 1050°C (beta field) transformed to martensitic alpha (alpha prime) upon being water quenched. Despite this heavily strained alpha prime, which is characterized by microtwins the tensile strength of the as-quenched alloys is relatively low and the elongation is as high as 30%.

An Intervention in a “Special” Class

1980 ◽  
Vol 9 (1) ◽  
pp. 99-103 ◽  
Author(s):  
Virginia Monroe ◽  
Lisa Ford
Keyword(s):  
Special Class

Bioavailability of naringenin chalcone in humans after ingestion of cherry tomatoes

2020 ◽  
Vol 90 (5-6) ◽  
pp. 411-416 ◽  
Author(s):  
Carina Kolot ◽  
Ana Rodriguez-Mateos ◽  
Rodrigo Feliciano ◽  
Katharina Bottermann ◽  
Wilhelm Stahl
Keyword(s):  
Plasma Levels ◽  
Average Concentration ◽  
Biologically Active ◽  
Thiol Groups ◽  
Structural Element ◽  
Active Molecule ◽  
Reactive Center ◽  
Average Maximum ◽  
Alpha Beta ◽  
Cherry Tomatoes

Abstract. Chalcones are a type of flavonoids characterized by an α-β unsaturated structural element which may react with thiol groups to activate pathways such as the Nrf2-Keap-1 system. Naringenin chalcone is abundant in the diet but little is known about its bioavailability. In this work, the bioavailability of naringenin chalcone from tomatoes was investigated in a group of healthy men (n=10). After ingestion of 600 grams of tomatoes providing a single dose of 17.3 mg naringenin chalcone, 0.2 mg of naringenin, and 195 mg naringin plasma levels of free and conjugated naringenin and naringenin chalcone (glucuronide and sulfate) were analyzed by UHPLC-QTOF-MS at 0.5, 1, 3, and 6 h post-consumption. Plasma levels of conjugated naringenin increased to about 12 nmol/L with a maximum at about 3 h. Concentrations of free naringenin hardly elevated above baseline. Plasma levels of free and conjugated naringenin chalcone significantly increased. A maximum of the conjugated chalcone was reached at about 3 h after ingestion with an average concentration of about 0.5 nmol/L. No free chalcone was detectable at baseline but low amounts of the unconjugated compound could be detected with an average maximum of 0.8 nmol/L at about 1 h after ingestion. The data demonstrate that naringenin chalcone is bioavailable in humans from cherry tomatoes as a dietary source. However, availability is poor and intramolecular cyclisation as well as extended metabolism likely contribute to the inactivation of the reactive alpha-beta unsaturated reactive center as well as the excretion of the biologically active molecule, respectively.

Sign in / Sign up

Export Citation Format

Share Document