Gurney's Conjecture is a mathematical hypothesis related to the field of graph theory. It proposes that for any finite, simple graph, the number of edges can be expressed in terms of the number of vertices and the maximum degree of the graph. Specifically, it suggests a relationship between these elements that can help in understanding the structure and properties of graphs. The conjecture is named after the mathematician G. Gurney, who introduced it in the context of studying graph properties. While it remains unproven, it has inspired further research and exploration in graph theory, contributing to the understanding of how graphs can be analyzed and categorized.