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Lewis Carroll's Doublets net of English words: network heterogeneity in a complex system.

Fushing H, Chen C, Hsieh YC, Farrell P - PLoS ONE (2014)

Bottom Line: Phonological communities are seen at the network level.And a balancing act between the language's global efficiency and redundancy is seen at the system level.Because the Doublets net is a modular complex cognitive system, the community geometry and computable multi-scale structural information may provide a foundation for understanding computational learning in many systems whose network structure has yet to be fully analyzed.

View Article: PubMed Central - PubMed

Affiliation: Department of Statistics, University of California Davis, Davis, California, United States of America.

ABSTRACT
Lewis Carroll's English word game Doublets is represented as a system of networks with each node being an English word and each connectivity edge confirming that its two ending words are equal in letter length, but different by exactly one letter. We show that this system, which we call the Doublets net, constitutes a complex body of linguistic knowledge concerning English word structure that has computable multiscale features. Distributed morphological, phonological and orthographic constraints and the language's local redundancy are seen at the node level. Phonological communities are seen at the network level. And a balancing act between the language's global efficiency and redundancy is seen at the system level. We develop a new measure of intrinsic node-to-node distance and a computational algorithm, called community geometry, which reveal the implicit multiscale structure within binary networks. Because the Doublets net is a modular complex cognitive system, the community geometry and computable multi-scale structural information may provide a foundation for understanding computational learning in many systems whose network structure has yet to be fully analyzed.

Show MeSH
The community geometry of the second largest clique in the 8-letter network.Four  scale values are used to bring out the community geometry of the second largest clique in the 8-letter network. The merging process starts from 5 core communities, and then 4, 3 and 2 on the four panels.
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pone-0114177-g004: The community geometry of the second largest clique in the 8-letter network.Four scale values are used to bring out the community geometry of the second largest clique in the 8-letter network. The merging process starts from 5 core communities, and then 4, 3 and 2 on the four panels.

Mentions: At , we find five core communities as shown in Fig. 4(a). As expected the five communities result from cutting the high betweenness edges, including the three mentioned earlier. At , two core communities are merged into a conglomerate one. The resulting four communities are shown in Fig. 4(b). This merging indicates that these two core communities are the closest among the five core communities at scale . Hence the distance between the two core communities could be loosely said to be equal to . As we raise the scale value of T, the communities continue merging and finally, at , the edge of the node pair “jingling” and “jiggling” is recovered to form a conglomerate community consisting of three core communities.


Lewis Carroll's Doublets net of English words: network heterogeneity in a complex system.

Fushing H, Chen C, Hsieh YC, Farrell P - PLoS ONE (2014)

The community geometry of the second largest clique in the 8-letter network.Four  scale values are used to bring out the community geometry of the second largest clique in the 8-letter network. The merging process starts from 5 core communities, and then 4, 3 and 2 on the four panels.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4269387&req=5

pone-0114177-g004: The community geometry of the second largest clique in the 8-letter network.Four scale values are used to bring out the community geometry of the second largest clique in the 8-letter network. The merging process starts from 5 core communities, and then 4, 3 and 2 on the four panels.
Mentions: At , we find five core communities as shown in Fig. 4(a). As expected the five communities result from cutting the high betweenness edges, including the three mentioned earlier. At , two core communities are merged into a conglomerate one. The resulting four communities are shown in Fig. 4(b). This merging indicates that these two core communities are the closest among the five core communities at scale . Hence the distance between the two core communities could be loosely said to be equal to . As we raise the scale value of T, the communities continue merging and finally, at , the edge of the node pair “jingling” and “jiggling” is recovered to form a conglomerate community consisting of three core communities.

Bottom Line: Phonological communities are seen at the network level.And a balancing act between the language's global efficiency and redundancy is seen at the system level.Because the Doublets net is a modular complex cognitive system, the community geometry and computable multi-scale structural information may provide a foundation for understanding computational learning in many systems whose network structure has yet to be fully analyzed.

View Article: PubMed Central - PubMed

Affiliation: Department of Statistics, University of California Davis, Davis, California, United States of America.

ABSTRACT
Lewis Carroll's English word game Doublets is represented as a system of networks with each node being an English word and each connectivity edge confirming that its two ending words are equal in letter length, but different by exactly one letter. We show that this system, which we call the Doublets net, constitutes a complex body of linguistic knowledge concerning English word structure that has computable multiscale features. Distributed morphological, phonological and orthographic constraints and the language's local redundancy are seen at the node level. Phonological communities are seen at the network level. And a balancing act between the language's global efficiency and redundancy is seen at the system level. We develop a new measure of intrinsic node-to-node distance and a computational algorithm, called community geometry, which reveal the implicit multiscale structure within binary networks. Because the Doublets net is a modular complex cognitive system, the community geometry and computable multi-scale structural information may provide a foundation for understanding computational learning in many systems whose network structure has yet to be fully analyzed.

Show MeSH