Cordial Labeling of Corona Product of Paths and Fourth Order of Lemniscate Graphs

被引：0

作者：

Abd El-hay, Atef ^{[1
]}

Alsatami, Khalid A. ^{[2
]}

Elrokh, Ashraf ^{[1
]}

Rabie, Aya ^{[3
]}

机构：

[1] Menoufia Univ, Math & Comp Sci Dept, Fac Sci, Menoufia, Egypt

[2] Qassim Univ, Coll Sci, Dept Math, Buraydah, Saudi Arabia

[3] Inst Natl Planning, Dept Planning Tech Ctr, Cairo, Egypt

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2025年 / 18卷 / 01期

关键词：

Cordial labeling; corona; lemniscate; Social Networking; Network; security; Edge Computing;

D O I：

10.29020/nybg.ejpam.v18i1.5470

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A graph G = (V, E) is called cordial if it is possible to label the vertex by the function f : V -> 0, 1 and label the edges by f* : E -> 0, 1, where f*(uv) = (f (u) + f (v))mod2, u, v is an element of V so that |v0-v1|<= 1 and |e0-e1|<= 1.A lemniscate graph is a plane curve with a characteristic shape, consisting of two loops that meet at a central point as shown below. The curve is also known as the lemniscate of Bernoulli. A fourth order of lemniscate graph is a graph of two fourth order of circles that have two vertex in common. In this paper, we give the conditions that the corona product of paths and fourth order of lemniscate graphs be cordial. 2020 Mathematics Subject Classifications: 05C78,05C15

引用

页数：14

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