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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

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7 papers · 1 filter

math.CO2024

On local antimagic chromatic number of the join of two special families of graphs -- II

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 proved that the join of 1-regular graph an…

math.CO2024

New Families of tripartite graphs with local antimagic chromatic number 3

Gee-Choon Lau, Wai Chee Shiu

For a graph of size , a bijection is a local antimagc labeling if it induces a vertex labeling 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

On local antimagic total chromatic number of certain one point union of graphs

Gee-Choon Lau

Let be a connected simple graph of order and size . A bijection is called a local antimagic total labeling of if for…

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 is said to be local antimagic if it is a bijection such that for any pair of adjacent vertices 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 is said to be local antimagic if there is a bijection such that for any pair of adjacent vertices …

math.CO2024

Complete characterization of graphs with local total antimagic chromatic number 3

G. C. Lau

A total labeling of a graph is said to be local total antimagic if it is a bijection such that adjacent vertices, adjacent edges,…