Summary: Let \(f:A \rightarrow B\) be a ring homomorphism of the commutative rings \(A\) and \(B\) with identities. Let \(J\) be an ideal of \(B\). The amalgamation of \(A\) with \(B\) along \(J\) with respect to \(f\) is a subring of \(A \times B\) given by \(A \bowtie^f J:=\{(a, f(a) +j)|a \in A\), \(j \in J\}\). In this paper, we investigate the comaximal ideal graph and the comaximal graph of the amalgamated algebra \(A \bowtie^f J\). In particular, we determine the Jacobson radical of \(A \bowtie^f J\), characterize the diameter of the comaximal ideal graph of \(A \bowtie^f J\), and investigate the clique number as well as the chromatic number of this graph.