Forbidden Subgraph Pairs for Traceability of Block-chains

Binlong Li • Hajo Broersma • Shenggui Zhang

Abstract

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.

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Journal

Electronic Journal of Graph Theory and Applications

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to ... see more