The monadic second-order logic of graphs. I. recognizable sets of finite graphs
Information and Computation
Easy problems for tree-decomposable graphs
Journal of Algorithms
Labelling graphs with a condition at distance 2
SIAM Journal on Discrete Mathematics
Algorithms for Square Roots of Graphs
SIAM Journal on Discrete Mathematics
The $L(2,1)$-Labeling Problem on Graphs
SIAM Journal on Discrete Mathematics
Journal of Algorithms
Distance Constrained Labeling of Precolored Trees
ICTCS '01 Proceedings of the 7th Italian Conference on Theoretical Computer Science
The complexity of satisfiability problems
STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
Channel Assignment on Strongly-Simplicial Graphs
IPDPS '03 Proceedings of the 17th International Symposium on Parallel and Distributed Processing
Graph labeling and radio channel assignment
Journal of Graph Theory
Labeling bipartite permutation graphs with a condition at distance two
Discrete Applied Mathematics
L(2, 1, 1)-labeling is NP-complete for trees
TAMC'10 Proceedings of the 7th annual conference on Theory and Applications of Models of Computation
Distance three labelings of trees
Discrete Applied Mathematics
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In our contribution to the study of graph labelings with three distance constraints we introduce a concept of elegant labelings: labelings where labels appearing in a neighborhood of a vertex can be completed into intervals such that these intervals are disjoint for adjacent vertices. We justify introduction of this notion by showing that use of these labelings provides good estimates for the span of the label space, and also provide a polynomial time algorithm to find an optimal elegant labeling of a tree for distance constraints (p,1,1). In addition several computational complexity issues are discussed.