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math.CO2026
Maximum Forest Number of General Bipartite Graphs: Structural and Complexity Results
Daniel Iľkovič
Recent results established the maximum forest number for balanced bipartite graphs under Ore-type degree sum conditions. In this paper, we extend these results by determinin…
math.CO2026
Distribution of independent sets in perfect -ary trees
Daniel Iľkovič, Jun Yan
Given a graph , the family of all independent sets of size containing a fixed vertex is called a star with centre , and is denoted by . Motivated…