Abstract: In this paper, a four-color coloring algorithm for maximal planar graphs with finite boundary is proposed, which aims to explore the four-color coloring method for complex planar graphs.

Abstract: In this paper, Heawood's counterexample graph is artificially colored by using the algorithm of planar graph four-colorable based on path homotopy search, which verifies the feasibility and ...

Data security involves implementing strategies to safeguard digital information against unauthorized disclosure and modification across computing and communication infrastructures. Given the ...

One of the most advanced fields of science is “graph theory,” which plays a vital role in the applications of other branches of science like chemistry, biology, physics, electrical engineering, ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

Java program demonstrating Mario, Zelda, and Pokemon to be NP-hard. Also includes algorithms for planarity testing, planar embedding, and graph drawing.

A professor has helped create a powerful new algorithm that uncovers hidden patterns in complex networks, with potential uses in fraud detection, biology and knowledge discovery. University of ...

Growing data center power demands are driving server end-equipment manufacturers to reach higher power-conversion efficiencies in order to reduce the thermal footprint of their systems. The transition ...