Graphs are versatile tools for representing structured data. As a result, variety of machine learning methods have been studied graph data analysis. Although many such depend on the measurement differences between input graphs, defining an appropriate distance metric graphs remains controversial issue. Hence, we propose supervised method classification problem. Our method, named interpretable (...

In this paper we study a 2-color analog of the cycle cone of a graph. Suppose the edges of a graph are colored red and blue. A nonnegative real vector on the edges is said to be balanced if the red sum equals the blue sum at every vertex. A balanced subgraph is a subgraph whose characteristic vector is balanced (i.e., red degree equals blue degree at every vertex). By a sum (respectively, fract...

In this paper, we prove the existence of fixed point for Chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. The main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.