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Description
  • A Weight graph is a connected (multi)graph with two vertices u and v of degree at least three and other vertices of degree two. Moreover, if any of these two vertices is removed, the remaining graph contains a cycle. A Weight graph is called simple if the degree of u and v is three. We show full computational complexity characterization of the problem of deciding the existence of a locally injective homomorphism from an input graph G to any fixed simple Weight graph by identifying some polynomial cases and some NP-complete cases.
  • A Weight graph is a connected (multi)graph with two vertices u and v of degree at least three and other vertices of degree two. Moreover, if any of these two vertices is removed, the remaining graph contains a cycle. A Weight graph is called simple if the degree of u and v is three. We show full computational complexity characterization of the problem of deciding the existence of a locally injective homomorphism from an input graph G to any fixed simple Weight graph by identifying some polynomial cases and some NP-complete cases. (en)
Title
  • Locally Injective Homomorphism to the Simple Weight Graphs
  • Locally Injective Homomorphism to the Simple Weight Graphs (en)
skos:prefLabel
  • Locally Injective Homomorphism to the Simple Weight Graphs
  • Locally Injective Homomorphism to the Simple Weight Graphs (en)
skos:notation
  • RIV/00216208:11320/11:10102942!RIV12-MSM-11320___
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  • S, Z(MSM0021620838)
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  • 1
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  • 209813
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  • RIV/00216208:11320/11:10102942
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  • Weight graph; locally injective homomorphism; computational complexity (en)
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  • DE - Spolková republika Německo
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  • [38A337E45E00]
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  • Lecture Notes in Computer Science
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  • 6648
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  • Lidický, Bernard
  • Tesař, Marek
  • Bílka, Ondřej
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-20877-5_46
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  • 11320
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