TY - JOUR
AU - Binlong Li
AU - Hajo Broersma
AU - Shenggui Zhang
T1 - Forbidden Subgraph Pairs for Traceability of Block-chains
T2 - Electronic Journal of Graph Theory and Applications
JF - Electronic Journal of Graph Theory and Applications
DA - 2013///
PY - 2013
IS - 1
VL - 1
AB - 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.
ER -