W. Shiu

activity

20122026

most citedA relation between Clar covering polynomial and cube polynomial

15 citations · 22 across the 16 of their papers we have counts for

collaborators

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21 papers · 1 filter

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…

math.CO2024

New Families of tripartite graphs with local antimagic chromatic number 3

Gee-Choon Lau, Wai Chee Shiu

For a graph $G (V, E)$ of size $q$ , a bijection $f : E (G) \to [1, q]$ is a local antimagc labeling if it induces a vertex labeling $f^{+} : V (G) \to N$ such that $f^+(u) \ne f^…

math.CO2024

On local antimagic chromatic numbers of the join of two special families of graphs

Gee-Choon Lau, Wai Chee Shiu

It is known that null graphs and 1-regular graphs are the only regular graphs without local antimagic chromatic number. In this paper, we use matrices of size $(2m+1) \times (2k+1)…

math.CO2024

Construction of local antimagic 3-colorable graphs of fixed even size -- matrix approach

Gee-Choon Lau, Wai Chee Shiu, M. Nalliah +1

An edge labeling of a connected graph $G = (V, E)$ is said to be local antimagic if it is a bijection $f : E \to {1, \dots, ∣ E ∣}$ such that for any pair of adjacent vertices $x$ and…

math.CO2024

Constructions of local antimagic 3-colorable graphs of fixed odd size | matrix approach

Gee-Choon Lau, Wai Chee Shiu, K. Premalatha +1

An edge labeling of a connected graph $G = (V, E)$ is said to be local antimagic if there is a bijection $f : E \to {1, \dots, ∣ E ∣}$ such that for any pair of adjacent vertices $x$ …