The minimum number of k is called the incidence-adjacent vertex distinguishing total chromatic number of G. Where C(u) = {f(u)}¿{f(uv)|uv ¿ E(G)}. In this paper, we discuss some graphs whose incidence ...

This project provides a generic implementation for directed, unweighted, and sparse graphs, along with several utility functions: Cycle Detection: This function determines if a cycle (circular path) ...

Zhou, X.H. (2009) Adjacent Vertex Distinguishing Incidence Chromatic Number of Crown Graph Gn,m. Journal of Shandong University of Technology (Natural Science Edition), 23, 40-43. ... The conjecture ...

Concurrently, research on total perfect codes in Cayley graphs has elucidated how conjugation-closed subsets of groups can yield comprehensive vertex coverings, thus ensuring that every vertex is ...

In this paper, we discuss some graphs whose incidence-adjacent vertex distinguishing total chromatic number is just ¿, ¿ + 1, ¿ + 2, and present a conjecture that the incidence-adjacent vertex ...