An antimagic graph is a graph with 
graph edges labeled with distinct
elements 
so that the sum of the graph edge
labels at each graph vertex differ.
Antimagic Graph
See also
Antimagic Square, Labeled Graph, Magic GraphExplore with Wolfram|Alpha
References
Hartsfield, N. and Ringel, G. Pearls in Graph Theory: A Comprehensive Introduction. San Diego, CA: Academic Press, 1990.Referenced on Wolfram|Alpha
Antimagic GraphCite this as:
Weisstein, Eric W. "Antimagic Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AntimagicGraph.html