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- W2014968696 abstract "A disconnected forest F = (V,E) with | V | = p and | E | = q cannot be graceful as there is no possible numbering of V with distinct integers from the set {0,…,q. However, the augmented set {0,…,p − 1} has just enough numbers for V and suggests the concept of a node-graceful graph. On the other hand, some problems arising from radar and sonar sequences of distinct frequencies in consecutive time slots can be regarded as the two-dimensional analog of the one-dimensional “ruler problems”. These two-dimensional synchronization patterns are formulated in terms of node-graceful graphs. It is shown that the matching graph nK2 is node-graceful if and only if there exists an (s,n)-Skolem sequence with s = 2. Other results are obtained and the current state of knowledge is summarized." @default.
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- W2014968696 modified "2023-09-27" @default.
- W2014968696 title "Node-graceful graphs" @default.
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- W2014968696 doi "https://doi.org/10.1016/0898-1221(88)90214-3" @default.
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