Robustness of star graph network under link failure

Edge-fault-tolerant Hamiltonicity of pancake graphs under the conditional fault model

The matching preclusion number of a graph is the minimum number of edges whose deletion results in a graph that has no perfect matchings or almost perfect matchings. As a generalization, Liu and Liu [20] introduced the fractional matching preclusion number, defined as the minimum number of edges whose deletion leaves the resulting graph without a fractional perfect matching. The fractional strong matching preclusion number of G is the minimum number of vertices and edges whose deletion leaves the resulting graph without a fractional perfect matching. In this paper, we obtain the fractional matching preclusion number and the fractional strong matching preclusion number for pancake graphs and burnt pancake graphs and classify all optimal preclusion sets of these graphs.

Fractional Matching Preclusion for (Burnt) Pancake Graphs

Conditional Fractional Matching Preclusion for Burnt Pancake Graphs and Pancake-Like Graphs (Extended Abstract).

ABSTRACT The conditional fractional strong matching preclusion number of a graph G is the minimum size of F such that and G−F has neither a fractional perfect matching nor an isolated vertex. In this paper, we obtain the conditional fractional strong matching preclusion number for burnt pancake graphs and a subset of the class of pancake-like graphs.

Conditional fractional matching preclusion for burnt pancake graphs and pancake-like graphs

A comparative study of job allocation and migration in the pancake network

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A comparative study of job allocation and migration in the pancake network