L(2,1)-labeling of dually chordal graphs and strongly orderable graphs

  • Authors:
  • B. S. Panda;Preeti Goel

  • Affiliations:
  • Computer Science and Application Group, Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016, India;Computer Science and Application Group, Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016, India

  • Venue:
  • Information Processing Letters
  • Year:
  • 2012

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Abstract

An L(2,1)-labeling of a graph G=(V,E) is a function f:V(G)-{0,1,2,...} such that |f(u)-f(v)|=2 whenever uv@?E(G) and |f(u)-f(v)|=1 whenever u and v are at distance two apart. The span of an L(2,1)-labeling f of G, denoted as SP"2(f,G), is the maximum value of f(x) over all x@?V(G). The L(2,1)-labeling number of a graph G, denoted as @l(G), is the least integer k such that G admits an L(2,1)-labeling of span k. The problem of computing @l(G) of a graph is known to be NP-complete. Griggs and Yeh have conjectured that @l(G)=