EXPLICIT AND IMPLICIT CONTRIBUTORS TO MIXED HYPERGRAPH COLORING

EXPLICIT AND IMPLICIT CONTRIBUTORS TO MIXED HYPERGRAPH COLORING (this direction could not be created by one person) 1 9/30/2020 1: 42: 54 PM

WITH VICTOR CHEPOI, FEODOR DRAGAN ANDREAS BRANDSTÄDT (DUISBURG, GERMANY, 1994) 2 9/30/2020 1: 42: 57 PM

3 WITH CURT LINDNER, CHRIS RODGER AND SHEN HAO (CATANIA, ITALY, 1994) 9/30/2020 1: 42: 59 PM

4 WITH PIER-VITTORIO CECCHERINI (ROME, ITALY, 1995) 9/30/2020 1: 43: 03 PM

5 WITH PAUL ERDŐS (MARSEILLE, FRANCE, 1995) 9/30/2020 1: 43: 06 PM

6 AT THAT TIME WE HAD ERDŐS INSTEAD OF GOOGLE… 9/30/2020 1: 43: 09 PM

7 WITH CLAUDE BERGE (MARSEILLE, FRANCE, 1995) 9/30/2020 1: 43: 10 PM

8 WITH ZSOLT TUZA (SYRACUSE, SICILY, ITALY, 1997) 9/30/2020 1: 43: 12 PM

9 WITH DOUG WEST AND HIS WIFE CHING (URBANA, USA, 1998) 9/30/2020 1: 43: 16 PM

10 WITH MARIA AXENOVICH (URBANA, USA, 1998) 9/30/2020 1: 43: 20 PM

WITH M. BOROWIECKI, A. NICULITSA AND H. -J. VOSS (DRESDEN, GERMANY, 1999) 11 9/30/2020 1: 43: 22 PM

12 WITH VADIM VIZING AND ALEXANDER ZYKOV (ODESSA, UKRAINE, 9/11/2001) 9/30/2020 1: 43: 26 PM

13 WITH VADIM VIZING (ODESSA, UKRAINE, 9/11/2001) 9/30/2020 1: 43: 27 PM

14 WITH SASHA KOSTOCHKA AND HIS WIFE LENA (URBANA, USA, 2002) 9/30/2020 1: 43: 30 PM

WITH SASHA KOSTOCHKA, NOGA ALON AND DOUG WEST (URBANA, USA, 2002) 15 9/30/2020 1: 43: 35 PM

16 WITH DOUG WEST, HIS WIFE CHING AND MY WIFE GEORGETA (URBANA, USA, 2002) 9/30/2020 1: 43: 37 PM

17 WITH MARIO GIONFRIDDO (MESSINA, ITALY, 2003) 9/30/2020 1: 43: 41 PM

18 WITH CURT LINDNER (MESSINA, ITALY, 2003) 9/30/2020 1: 43 PM

WITH ROBIN WILSON, SALVATORE MILICI, MARIO GIONFRIDDO AND GAETANO QUATTROCCHI (CATANIA, ITALY, 2003) 19 9/30/2020 1: 43: 44 PM

20 DEAN HOFFMAN AND CURT LINDNER (BOCA RATON, USA, 2004) 9/30/2020 1: 43: 49 PM

21 WITH FRANK HARARY AND LUCIA GIONFRIDDO (BOCA RATON, USA, 2004) 9/30/2020 1: 43: 51 PM

22 LUCIA GIONFRIDDO (BOCA RATON, USA, 2004) 9/30/2020 1: 43: 54 PM

23 WITH CURT LINDNER AND ANNE STREET (BOCA RATON, USA, 2005) 9/30/2020 1: 43: 56 PM

24 WITH LORENZO MILAZZO (CATANIA, ITALY, 2007) 9/30/2020 1: 44: 00 PM

25 WITH LORENZO MILAZZO AND LUCIA GIONFRIDDO (CATANIA, ITALY, 2007) 9/30/2020 1: 44: 03 PM

26 WITH DANIEL KRÁĽ TROY, USA, 2007 9/30/2020 1: 44: 06 PM

27 WITH ZSOLT TUZA (VESZPRÉM, HUNGARY, 2007) 9/30/2020 1: 44: 09 PM

28 CSILLA BUJTÁS, (VESZPRÉM, HUNGARY, 2007) 9/30/2020 1: 44: 11 PM

29 LUCIA GIONFRIDDO (CATANIA, ITALY, 2009) 9/30/2020 1: 44: 16 PM

WITH MARIO GIONFRIDDO (CATANIA, ITALY, 2009) 30 9/30/2020 1: 44: 19 PM

31 WITH ALEX ROSA (CATANIA, ITALY, 2009) 9/30/2020 1: 44: 21 PM

32 WITH LORENZO MILAZZO, CURT LINDNER AND ALEX ROSA (CATANIA, ITALY, 2009) 9/30/2020 1: 44: 23 PM

33 WITH ALEX ROSA (CATANIA, ITALY, 2009) 9/30/2020 1: 44: 25 PM

34 CHARLIE COLBOURN AND GAETANO QUATTROCCHI (CATANIA, ITALY, 2009) 9/30/2020 1: 44: 27 PM

35 WITH JOSEF LAURI (CATANIA, ITALY, 2009) 9/30/2020 1: 44: 30 PM

36 WITH HUAN WEI, JIN SHI AND KEN ROBLEE (TROY, USA, 2011) 9/30/2020 1: 44: 33 PM

WITH GIOVANNI LO FARO AND MARIO GIONFRIDDO (PERUGIA, ITALY, 2012) 37 9/30/2020 1: 44: 34 PM

WITH JULIAN ALLAGAN AND DIANE PORTER (MONTGOMERY, USA, 2013) 38 9/30/2020 1: 44: 35 PM

39 PETE JOHNSON (DOTHAN, USA, 2014) 9/30/2020 1: 44: 37 PM

WITH CHRIS RODGER (TROY, USA, 2014) 40 9/30/2020 1: 44: 39 PM

41 WITH MY DAUGHTER OLESEA (DALLAS, USA, 2014) 9/30/2020 1: 44: 42 PM

42 WITH KAISHUN WANG AND YANXUN CHANG (BEIJING, CHINA, 2015) 9/30/2020 1: 44: 45 PM

43 WITH KEFENG DIAO, PING ZHAO AND THEIR GROUP (LINYI, CHINA, 2015) 9/30/2020 1: 44: 47 PM

CONFUCIUS: 551 - 479 BC, THE MOST FAMOUS CHINESE PHILOSOPHER MY 2015 TRIP TO CHINA WAS FUNDED BY CONFUCIUS INSTITUTE OF TROY UNIVERSITY 44 THIS PICTURE WAS TAKEN AT CONFUCIUS TEMPLE, QUFU, CHINA 9/30/2020 1: 44: 49 PM

45 WITH LEONHARD EULER (ST. PETERSBURG, RUSSIA, 2015) 9/30/2020 1: 44: 52 PM

46 DHRUV MUBAYI UNIVERSITY OF ILLINOIS AT CHICAGO 9/30/2020 1: 44: 54 PM

47 TAO JIANG MIAMI UNIVERSITY, OXFORD, OH 9/30/2020 1: 44: 56 PM

48 ANDRÉ KÜNDGEN CALIFORNIA STATE UNIVERSITY SAN MARCOS 9/30/2020 1: 44: 59 PM

49 YAIR CARO, UNIVERSITY OF HAIFA ISRAEL 9/30/2020 1: 45: 01 PM

50 JEFF DINITZ UNIVERSITY OF VERMONT 9/30/2020 1: 45: 02 PM

WITH SO MANY COLLEAGUES AND FRIENDS, ITALY, HYGRADE 2017 51 9/30/2020 1: 45: 03 PM

52 WITH MY WIFE GEORGETA AND SON JULIAN (MOSCOW, RUSSIA, 2015) 9/30/2020 1: 45: 05 PM

53 WITH MY SON JULIAN AND DAUGHTER OLESEA (CHISINAU, MOLDOVA, 2016) 9/30/2020 1: 45: 06 PM

54 I am deeply grateful to all mathematicians who supported me and directly or indirectly contributed to mixed hypergraph coloring. 9/30/2020 1: 45: 07 PM

55 My most special thanks go to my family for their contribution (in good and hard times) by their unconditional support, courage and patience. 9/30/2020 1: 45: 08 PM

56 IF IT WOULD BE MY WILL… If it would be my will, I would build a monument to family members of all mathematicians for their love and fidelity… 9/30/2020 1: 45: 09 PM

57 Thank you very much! 9/30/2020 1: 45: 09 PM