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04/24/2023
Fractional eternal domination: securely distributing resources across a network
This paper initiates the study of fractional eternal domination in graph...
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11/15/2022
Few hamiltonian cycles in graphs with one or two vertex degrees
We fully disprove a conjecture of Haythorpe on the minimum number of ham...
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07/15/2020
Further results on Hendry's Conjecture
Recently, a conjecture due to Hendry was disproved which stated that eve...
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03/03/2020
A method for eternally dominating strong grids
In the eternal domination game, an attacker attacks a vertex at each tur...
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02/02/2019
Eternal domination on prisms of graphs
An eternal dominating set of a graph G is a set of vertices (or "guards"...
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11/15/2018
A study of cops and robbers in oriented graphs
We consider the well-studied cops and robbers game in the context of ori...
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11/15/2018
Cops and robbers on oriented graphs
We consider the well-studied cops and robbers game in the context of ori...
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08/21/2018