Title
Labeling Dot-Cartesian and Dot-Lexicographic Product Graphs with a Condition at Distance Two.
Abstract
If $d(x,y)$ denotes the distance between vertices $x$ and $y$ in a graph $G$, then an $L(2,1)$-labeling of a graph $G$ is a function $f$ from vertices of $G$ to nonnegative integers such that $\boldsymbol {\vert f(x) - f(y)\vert \ge 2}$ if $\boldsymbol {d(x,y) = 1}$, and $\boldsymbol {\vert f(x) - f(y)\vert \ge 1}$ if $\boldsymbol {d(x,y) = 2}$. Griggs and Yeh conjectured that for any graph with m...
Year
DOI
Venue
2016
10.1093/comjnl/bxv084
The Computer Journal
Keywords
Field
DocType
frequency assignment,L(2, 1)-labeling,graph product,dot-Cartesian product,dot-lexicographic product
Integer,Indifference graph,Combinatorics,Vertex (geometry),Computer science,Theoretical computer science,Degree (graph theory),Lexicographical order,Conjecture,Edge-graceful labeling,Cartesian coordinate system
Journal
Volume
Issue
ISSN
59
1
0010-4620
Citations 
PageRank 
References 
0
0.34
15
Authors
3
Name
Order
Citations
PageRank
Zhendong Shao1678.60
Igor Averbakh269954.76
sandi klavžar354258.66