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Dive into the research topics where Peter Che Bor Lam is active.

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Featured researches published by Peter Che Bor Lam.


Journal of Combinatorial Theory | 1999

The 4-Choosability of Plane Graphs without 4-Cycles

Peter Che Bor Lam; Baogang Xu; Jiazhuang Liu

A graphGis calledk-choosable ifkis a number such that if we give lists ofkcolors to each vertex ofGthere is a vertex coloring ofGwhere each vertex receives a color from its own list no matter what the lists are. In this paper, it is shown that each plane graph without 4-cycles is 4-choosable.


Journal of Graph Theory | 2004

Some remarks on domination: SOME REMARKS ON DOMINATION

Dan Archdeacon; Joanna A. Ellis-Monaghan; David C. Fisher; Dalibor Froncek; Peter Che Bor Lam; Suzanne M. Seager; Bing Wei; Raphael Yuster

Proof: The proof is by induction on |V (G)| + |E(G)|. The smallest graph as described in the lemma is K1,3, for which the statement holds. This gives the start of our induction. Let x = |X| and y = |Y |. If there exists a vertex v in Y of degree at least 4, then delete any edge e incident to v. The subset A of G− e guaranteed by the inductive hypothesis is adjacent in G to every vertex in Y as desired. So we may assume that the vertices in Y are all of


SIAM Journal on Discrete Mathematics | 2008

Resonance Graphs and a Binary Coding for the 1-Factors of Benzenoid Systems

Heping Zhang; Peter Che Bor Lam; Wai Chee Shiu

Applying the recently obtained distributive lattice structure on the set of 1-factors, we show that the resonance graphs of any benzenoid systems


Discrete Mathematics | 1999

On independent domination number of regular graphs

Peter Che Bor Lam; Wai Chee Shiu; Liang Sun

G


Networks | 2000

Orthogonal (g, f)-factorizations in networks

Peter Che Bor Lam; Guizhen Liu; Guojun Li; Wai Chee Shiu

, as well as of general plane (weakly) elementary bipartite graphs, are median graphs and thus extend greatly Klavzar et al.s result. The


Discrete Mathematics | 2002

On incidence coloring for some cubic graphs

Wai Chee Shiu; Peter Che Bor Lam; Dong-Ling Chen

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Order | 2003

A Distributive Lattice on the Set of Perfect Matchings of a Plane Bipartite Graph

Peter Che Bor Lam; Heping Zhang

-dimensional vectors of nonnegative integers as a labelling for the 1-factors of


Journal of Mathematical Chemistry | 2002

Normal components, Kekulé patterns, and Clar patterns in plane bipartite graphs

Wai Chee Shiu; Peter Che Bor Lam; Fuji Zhang; Heping Zhang

G


Journal of Combinatorial Optimization | 2007

L(j,k)- and circular L(j,k)-labellings for the products of complete graphs

Peter Che Bor Lam; Wensong Lin; Jianzhuan Wu

with


Discrete Mathematics | 2005

The 3-choosability of plane graphs of girth 4

Peter Che Bor Lam; Wai Chee Shiu; Zengmin Song

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Wai Chee Shiu

Hong Kong Baptist University

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Wai Hong Chan

Hong Kong Institute of Education

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Chong Sze Tong

Hong Kong Baptist University

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