G. Lau

activity

20122026

most citedOn local antimagic chromatic number of cycle-related join graphs

18 citations · 31 across the 29 of their papers we have counts for

collaborators

Showing 2026Show all

4 papers · 1 filter

math.CO2026

Complete characterization of disconnected one-point unions of cycles with local antimagic chromatic number 2

Gee-Choon Lau, Wai Chee Shiu

For a graph $G$ , characterizing the structural behavior of achieving the minimal local antimagic chromatic number $χ_{l a} (G) = 2$ remains a fundamental open problem in the study of…

math.CO2026

Local Antimagic Chromatic Number of Middle Graph and Direct Product of Graphs

Huimin Xu, Gee-Choon Lau, Ruixue Zhang

An edge labeling of a connected graph $G = (V, E)$ is called a local antimagic labeling if it is a bijection $f : E \to {1, 2, \dots, ∣ E ∣}$ such that for any…

math.CO2026

Necessary and sufficient conditions of a class of bipartite graphs with local antimagic chromatic number 2 - an algebraic approach

Gee-Choon Lau, Wai Chee Shiu

For a connected graph $G = (V, E)$ , a bijective edge labeling $f : E \to {1, \dots, ∣ E ∣}$ is a local antimagic labeling of $G$ if it induces a vertex labeling $f^{+}$ such that for an…

math.CO2026

A novel approach to determining chromatic number induced by labelings

Gee-Choon Lau, Wai Chee Shiu, Zhen Bin Gao

Given a simple graph $G = (V, E)$ of order $p$ and size $q$ , a bijection $f : V \cup E \to {1, 2, \dots, p + q}$ is a local total neighborhood antimagic labeling of $G$ if the induced…