Document Type: Research Paper
Department of Mathematics‎, ‎Urmia University‎, ‎Urmia 57135‎, ‎Iran
Department of Mathematics‎, ‎Khoy Branch‎, ‎Islamic Azad University‎, ‎Khoy‎, ‎Iran
Department of mathematics, Urmia University, Urmia, Iran
In this paper we prove that some Janko groups are uniquely determined by their orders and one irreducible character degree. Also we prove that some finite simple $K_4$-groups are uniquely determined by their character degree graphs and their orders.