Prosiding Seminar Matematika dan Pendidikan Matematik
Vol 1, No 1 (2014): Prosiding Seminar Nasional Matematika 2014

Pelabelan Total Super $(a,d)$-sisi Antimagic pada Gabungan Saling Lepas Graf Bintang dengan Teknik Pewarnaan Titik

Wardani M, Devi Eka (Unknown)
Dafik, Dafik (Unknown)



Article Info

Publish Date
29 Dec 2014

Abstract

For a graph $G=(V,E)$, a bijection $f$ from $V(G) cup E(G)$ into ${1, 2,3,ldots,$ $|V(G)|+|E(G)|}$ is called ($a$,$d$)-edge-antimagic total  labeling of $G$ if the edge-weights $w(xy) = g(x) + g(y) + g(xy), xy in E(G)$, form an arithmetic progression starting from $a$ and having common difference $d$. An ($a$,$d$)-edge-antimagic total labeling is called super ($a$,$d$)-edge-antimagic total labeling if $g(V(G))= {1, 2,ldots,|V(G)|}$. A vertex coloring is an assignment of labels or colors to each vertex of a graph such that there is no two adjacent vertices have the same colors. We can use vertex coloring technique to label the vertices of a graph such that it has EAV-weight. Furthermore, If we have an EAV-weight of $S_n$, we can construct a super $(a,d)$-edge antimagic total labeling of Star Graph, either simple or disjoint union of this graph.

Copyrights © 2014






Journal Info

Abbrev

PSMP

Publisher

Subject

Education Mathematics

Description

Prosiding Semnas Matematika dan Pendidikan Mamatika adalah prosiding kumpulan artikel hasil seminar nasional matematika dan pendidikan matematika. Tema semnas berbeda setiap terbitan disesuaikan dengan tema yang dikembangkan oleh panitia semnas. Terbit satu kali dalam setahun secara serial antara ...