Skolem Graceful Labelin on Broom Graph

Let G=(V,E) be a finite simple graph. Broom graph B_(m,n) consist of (m+n) nodes is a path graph P_m with m nodes and a star graph S_n with (n+1) nodes, which are aligned at 1 vertex is the endpoint of the path graph and the center point of the star graph. Skolem graceful labeling is two functions with the rule that the injective function f:V→{1,2,…,|V|} which induces a bijective function g:E→{1,2,…|E|}| such that g(e)=|f(u)-f(v)|, where u,v∈V, and e={u,v}∈E. In this research, broom graph admit skolem graceful labeling with m is odd and even.

Authors

Publication Details

Journal
Journal of Mathematics Technology and Education.
Published
2024-12-30
DOI
https://doi.org/10.32734/jomte.v3i4.13375
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Skolem Graceful Labelin on Broom Graph

Saib Suwilo, Kristin Lamria
Journal of Mathematics Technology and Education.
Graph Labeling and Dimension Problems
article

Skolem Graceful Labelin on Broom Graph

Saib Suwilo, Kristin Lamria
article en

Abstract

Let G=(V,E) be a finite simple graph. Broom graph B_(m,n) consist of (m+n) nodes is a path graph P_m with m nodes and a star graph S_n with (n+1) nodes, which are aligned at 1 vertex is the endpoint of the path graph and the center point of the star graph. Skolem graceful labeling is two functions with the rule that the injective function f:V→{1,2,…,|V|} which induces a bijective function g:E→{1,2,…|E|}| such that g(e)=|f(u)-f(v)|, where u,v∈V, and e={u,v}∈E. In this research, broom graph admit skolem graceful labeling with m is odd and even.

Journal of Mathematics Technology and Education.Vol. 3(4)
Openalex Percentile: Top 67%
Graph Labeling and Dimension Problems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Skolem Graceful Labelin on Broom Graph — Saib Suwilo, Kristin Lamria · Journal of Mathematics Technology and Education. (2024) | TGRS Research Map | TGRS