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European Journal of Combinatorics
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European Journal of Combinatorics
Article . 2002
License: Elsevier Non-Commercial
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Hyperbolic Bridged Graphs

Hyperbolic bridged graphs
Authors: Jack H. Koolen; Vincent Moulton;

Hyperbolic Bridged Graphs

Abstract

A connected graph is bridged if it contains no isometric cycles of length more than 3, and it is 1-hyperbolic if for any 4 vertices the largest sum of diagonal distances is at most 1 higher than the second largest. It is shown that a graph satisfies both properties if and only if it does not contain any of 6 specified graphs as an isometric subgraph.

Countries
Korea (Republic of), United Kingdom
Keywords

Distance in graphs, Computational Theory and Mathematics, thin graph, DISTANCE-HEREDITARY GRAPHS, hyperbolic graphs, Structural characterization of families of graphs, bridged graph, Geometry and Topology, Paths and cycles, Theoretical Computer Science

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    39
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
39
Average
Top 10%
Average
hybrid