Abstract
Let$G$be a finite solvable group and let$\Delta(G)$be the character degree graph of$G$ . In this paper, we obtain the metric dimension of certain character degree graphs. Specifically, we calculate the metric dimension for a regular character degree graph, a character degree graph with a diameter of$2$that is not a block, a character degree graph with a diameter of$3$that also has a cut vertex and a character degree graph with Fitting height$2.$We also consider two related parameters, base size and adjacency dimension, and their relation to metric dimension for character degree graphs of solvable groups.