Journal article
The spread of fire on a random multigraph
- Abstract:
-
We study a model for the destruction of a random network by fire. Suppose that we are given a multigraph of minimum degree at least 2 having real-valued edge-lengths. We pick a uniform point from along the length and set it alight; the edges of the multigraph burn at speed 1. If the fire reaches a vertex of degree 2, the fire gets directly passed on to the neighbouring edge; a vertex of degree at least 3, however, passes the fire either to all of its neighbours or none, each with probability ...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
+ Engineering and Physical Sciences Research Council
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Funding agency for:
Goldschmidt, C
Grant:
EP/N004833/
Bibliographic Details
- Publisher:
- Applied Probability Trust Publisher's website
- Journal:
- Advances in Applied Probability Journal website
- Volume:
- 51
- Issue:
- 1
- Pages:
- 1-40
- Publication date:
- 2019-07-22
- Acceptance date:
- 2018-11-13
- DOI:
- ISSN:
-
0001-8678
Item Description
- Keywords:
- Pubs id:
-
pubs:870373
- UUID:
-
uuid:233ee410-e42c-48b7-9a29-20ab25bac481
- Local pid:
- pubs:870373
- Source identifiers:
-
870373
- Deposit date:
- 2018-11-14
Terms of use
- Copyright holder:
- Applied Probability Trust
- Copyright date:
- 2019
- Rights statement:
- © Applied Probability Trust 2019
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from CUP at: 10.1017/apr.2019.2
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