Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1394
1
1
gregorian
2015
4
1
10
1
online
1
fulltext
en
On Barycentric-Magic Graphs
عمومى
General
پژوهشي
Research paper
Let $A$ be an abelian group. A graph $G=(V,E)$ is said to be $A$-barycentric-magic if there exists a labeling $l:E(G)longrightarrow Asetminuslbrace{0}rbrace$ such that the induced vertex set labeling $l^{+}:V(G)longrightarrow A$ defined by $l^{+}(v)=sum_{uvin E(G)}l(uv)$ is a constant map and also satisfies that $l^{+}(v)=deg(v)l(u_{v}v)$ for all $v in V$, and for some vertex $u_{v}$ adjacent to $v$. In this paper we determine all $hinmathbb{N}$ for which a given graph G is $mathbb{Z}_{h}$-barycentric-magic and characterize $mathbb{Z}_{h}$-barycentric-magic labeling for some graphs containing vertices of degree 2 and 3.
Magic graph, Barycentric sequences, Barycentric magic graph.
121
129
http://ijmsi.ir/browse.php?a_code=A-10-582-1&slc_lang=en&sid=1
M. T.
Varela
mtvarela@usb.ve
10031947532846006264
10031947532846006264
Yes
Universidad Simon Bolıvar