Forbidden subgraph pairs for traceability of block-chains

Autor: Binlong Li, Hajo Broersma, Shenggui Zhang
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Electronic Journal of Graph Theory and Applications, Vol 1, Iss 1, Pp 1-10 (2013)
Druh dokumentu: article
ISSN: 2338-2287
DOI: 10.5614/ejgta.2013.1.1.1
Popis: A block-chain is a graph whose block graph is a path, i.e. it is either a $P_1$, a $P_2$, or a 2-connected graph, or a graph of connectivity 1 with exactly two end-blocks. A graph is called traceable if it contains a Hamilton path. A traceable graph is clearly a block-chain, but the reverse does not hold in general.In this paper we characterize all pairs of connected graphs $\{R,S\}$ such that every $\{R,S\}$-free block-chain is traceable.
Databáze: Directory of Open Access Journals