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Erd\H{o}s Rado Sunflower Theorem for Shifted Families

Combinatorics [Submitted on 1 Jun 2026 (v1), last revised 8 Jun 2026 (this version, v2)] Title:Erdős Rado Sunflower Theorem for Shifted Families View PDF HTML (experimental)Abstract:Let $f(k,s)$ denote the minimum integer $m$ such that any family $\mathcal{F}$ consisting of $k$-sized sets of cardinality at least $m$ always contain a sunflower of size $s$. The Erdős-Rado Sunflower Conjecture states that for every $s >2$, there is an constant $C=C(s)$ such that $f(k,s) \leq C^k$.

arXiv CS 1d ago

Erd\H{o}s Rado Sunflower (Conjecture) Theorem

Combinatorics [Submitted on 1 Jun 2026] Title:Erdős Rado Sunflower (Conjecture) Theorem View PDF HTML (experimental)Abstract:Let $f(k,s)$ denote the minimum integer $m$ such that any family $\mathcal{F}$ consisting of $k$-sized sets of cardinality at least $m$ always contain a sunflower of size $s$.

arXiv CS 7d ago

Brighton v Manchester City: Women’s FA Cup final – live

⚽ FA Cup final updates from Wembley, kick-off 3pm BST⚽ Vidosic driven by family tragedy | City target the doubleGrowing up in Brisbane with a big time difference to London, Dario Vidosic loved being allowed to stay up past his bedtime to watch a big Wembley final on television next to his father, Rado, before trying to recreate a great goal with him in the garden the following day. On Sunday, Rado will not only be in the Vidosic family’s thoughts but in the hearts and minds of everyone...

The Guardian UK 10d ago

Brighton v Manchester City: Women’s FA Cup final – live

⚽ FA Cup final updates from Wembley, kick-off 3pm BST⚽ Vidosic driven by family tragedy | City target the doubleGrowing up in Brisbane with a big time difference to London, Dario Vidosic loved being allowed to stay up past his bedtime to watch a big Wembley final on television next to his father, Rado, before trying to recreate a great goal with him in the garden the following day. On Sunday, Rado will not only be in the Vidosic family’s thoughts but in the hearts and minds of everyone...

The Guardian Sport 10d ago

Dario Vidosic driven by family tragedy as Brighton chase Women’s FA Cup glory

Brighton’s head coach has led team to Wembley date with Manchester City despite losing his father four months agoGrowing up in Brisbane with a big time difference to London, Dario Vidosic loved being allowed to stay up past his bedtime to watch a big Wembley final on television next to his father, Rado, before trying to recreate a great goal with him in the garden the following day. On Sunday, Rado will not only be in the Vidosic family’s thoughts but in the hearts and minds of everyone...

The Guardian UK 11d ago

Dario Vidosic driven by family tragedy as Brighton chase Women’s FA Cup glory

Brighton’s head coach has led team to Wembley date with Manchester City despite losing his father four months agoGrowing up in Brisbane with a big time difference to London, Dario Vidosic loved being allowed to stay up past his bedtime to watch a big Wembley final on television next to his father, Rado, before trying to recreate a great goal with him in the garden the following day. On Sunday, Rado will not only be in the Vidosic family’s thoughts but in the hearts and minds of everyone...

The Guardian Sport 11d ago

Fowler wins FA Cup with Man City as fans honour Aussie coach's late father

Mary Fowler's Manchester City wins FA Cup, beating Dario Vidošić's Brighton and Hove Albion Mon 1 Jun 2026 at 9:47am In short: Mary Fowler has won the Women's FA Cup with Manchester City, beating Brighton and Hove Albion 4-0 at Wembley. Brighton featured fellow Matilda Charlize Rule, and is coached by Australian Dario Vidošić. Brighton fans unveiled a large banner in the stands in honour of Vidošić's father Rado, a well-known figure in Australian football, who died in January.

ABC Australia 9d ago