ABSTRACT
Line-of-sight graphs were introduced by Garey, Johnson and So in connection with a circuit testing problem. A restricted version of the problem (using line segments and a single line-of-sight) is discussed and the associated graphs are characterized. Results for directed and weighted cases are also presented.
- [A] Algorithmic Aspects of Combinatorics, Annals of Discrete Math. 2 (1978), North Holland Publishing Co., p. 243.Google Scholar
- [Even] Even, S., Tarjan, R.; Computing an s-t Numbering: Theoretical Comp. Sci. 2 (1976), pp. 339-344.Google ScholarCross Ref
- [GJS] Garey, M., Johnson, D., So, H.; An Application of Graph Coloring to Printed Circuit Testing; IEEE Trans. on Circuits and Systems, Vol. CAS23, No. 10, Oct. 1976, pp. 591-598.Google Scholar
Index Terms
- Characterizing bar line-of-sight graphs
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