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04/20/2023
Isolation of regular graphs and k-chromatic graphs
For any set ℱ of graphs and any graph G, let ι(G,ℱ) denote the size of a...
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03/23/2023
Isolation of regular graphs, stars and k-chromatic graphs
For any graph G and any set ℱ of graphs, let ι(G,ℱ) denote the size of a...
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11/08/2022
Solution to a problem of Katona on counting cliques of weighted graphs
A subset I of the vertex set V(G) of a graph G is called a k-clique inde...
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10/07/2021
Isolation of connected graphs
For a connected n-vertex graph G and a set ℱ of graphs, let ι(G,ℱ) denot...
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12/30/2020
The maximum sum of sizes of cross-intersecting families of subsets of a set
A set of sets is called a family. Two families 𝒜 and ℬ of sets are said ...
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07/17/2020
Reducing the maximum degree of a graph: comparisons of bounds
Let λ(G) be the smallest number of vertices that can be removed from a n...
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12/28/2018