Purposes of this research: 1. To study gamma labeling of graphs. 2. To study properties of gamma-continuous graph and alternative gamma-continuous graph. 3. To study relationship between gamma-continuous graph and alternately gammacontinuous graph. 4. To study minimum gamma-density of graphs 5. To obtain original research results in graph theory emphasizing on gamma labeling. 6. To serve as gamma labeling research for future study and reference. Research Methodology: 1. Studying and searching for literature review. 2. Developing tools and new technique or creating a new technique by combining existing known technique. 3. Discussing with graph theory experts. 4. Presenting our work to a conference in graph theory area 5. Submitting our final work to publish in leading journal. Research Results: 1. We determine the extremal values of a gamma-labeling of a cycle with a triangle. 2. We determine the extremal values of a gamma-delta-labeling of some graphs. 3. We give answer to the open question posed by G. D. Bullington, L. L. Eroh, and S. J. Winters in Discuss. Math. Graph Theory, 30 (2010) 45-54. 4. We characterize gamma-min labelings of a graph. 5. We characterize gamma-max labelings of complete bipartite graph and complete graphs. 6. We provide an alternative and improved proof of valmax(Kr,s) given in the literature that employs gamma–min labelings of complete graphs. Suggestion for Further research: We should study and characterize gamma-max labeling of graphs.