Problems and memories

I state some open problems coming from joint work with Paul Erd\H{o}sComment: This is a paper form of the talk I gave on July 5, 2013 at the centennial conference in Budapest to honor Paul Erd\H{o}

Broadening the New Perspective on Paul: Paul and the Ethnographical Debate of His Time—The Criticism of Jewish and Pagan Ancestral Customs (1 Thess 2:13-16)

George H. van Kooten, “Broadening the New Perspective on Paul: Paul and the Ethnographical Debate of His Time—The Criticism of Jewish and Pagan Ancestral Customs (1 Thess 2:13-16),” in Abraham, the Nations, and the Hagarites: Jewish, Christian, and Islamic Perspectives on Kinship with Abraham (ed. Martin Goodman, George H. van Kooten, and Jacques T.A.G.M. van Ruiten; Themes in Biblical Narrative 13; Leiden and Boston: Brill, 2010), 319-344.

The random graph

Erd\H{o}s and R\'{e}nyi showed the paradoxical result that there is a unique (and highly symmetric) countably infinite random graph. This graph, and its automorphism group, form the subject of the present survey.Comment: Revised chapter for new edition of book "The Mathematics of Paul Erd\H{o}s

Paul H. Dixon

Dr. Paul H. Dixon became the eighth president of Cedarville College in 1978. A graduate of Tennessee Temple University and Temple Baptist Theological Seminary, Dr. Dixon spent 14 years as an evangelist before becoming president. In 1986, while president, he earned his doctorate in higher education from the University of Cincinnati. He also holds an honorary doctor of divinity degree from his alma mater and the honorary doctor of laws degree from Liberty University in Lynchburg, Virginia. A glance at the 25 years of Dr. Dixon\u27s presidency reveals great achievements for Cedarville University. However, Dr. Dixon was always the first to say that the only explanation for Cedarville is God. The success of the University may have been due in part to Dixon\u27s God-given ability to balance stability and change. Without fail, Dr. Dixon kept the University in step with its credo - for the Word of God and the testimony of Jesus Christ - and its mission to provide an education consistent with biblical truth. Faculty and staff named his strong emphasis on chapel and his challenging sermons as two of the most significant characteristics of his presidency. His evident, passionate desire for students to take part in the Great Commission never waned. Under Dr. Dixon\u27s leadership, daily required chapel continued to be a priority on campus. Yet the very opposite of stability - change - was another building block of Dr. Dixon\u27s tenure. With a strong vision and a strategic plan in hand before he even began his job, Dixon led the University through tremendous growth. In his 25 years, $100 million in facilities were built on a campus that expanded from 180 acres to 400. Cedarville attained university status in 2000, offering more than 100 programs, including graduate degrees. Enrollment blossomed from 1,185 students in 1978 to more than 3,000, and the faculty grew from 60 to 203. Also, the University\u27s focus on technology positioned it as a leader in the digital age. As Dr. Dixon came to the conclusion of his 25 years as president, he certainly modeled the life verse which he and his wife, Pat, chose: The steps of a good man are ordered by the Lord, and he delighteth in his way (Psalm 37:23). In May 2003, Dr. Dixon became the Chancellor of the University, as the mantle of the presidency was passed to Dr. William E. Brown, formerly the president of Bryan College in Dayton, Tennessee. The Dixon Ministry Center, opened in 1996, was named in honor of Paul and Pat Dixon.https://digitalcommons.cedarville.edu/oral_histories/1022/thumbnail.jp

There are integral heptagons, no three points on a line, no four on a circle

We give two configurations of seven points in the plane, no three points in a line, no four points on a circle with pairwise integral distances. This answers a famous question of Paul Erd\H{o}s.Comment: 4 pages, 1 figur

Volume 8, Number 4 - January 1928

Volume 8, Number 4 – January 1928. 48 pages including covers and advertisements. Hanley, John C., A Church in the Mart Egan, James V., The Poetry of Gilbert K. Chesterton Csanyi, Paul F., Clouds Greene, Frank E., On Wings of Silence O\u27Connell, John H. F., That Amazing Proposal Sheridan, James J., Mr. Hyde Penla, Joseph J. Della, Religion in Literature Hearn, Philip B., Residuum O\u27Connell, John H. F., Editorial Murphy, John W., Exchange McDonald, James E., Chronicle McDonald, James E., Alumni Notes Dromgoole, Walter T., Athletic

Volume 8, Number 9 - June 1928

Volume 8, Number 9 - June 1928. 56 pages including covers and advertisements. Sheridan, James J., Shakespearean Types Hampshire, Norman, Corpus Christi Gloriosum Hanley, John C., The Life of the Party Sheridan, James J., Castles on Olympus Csanyi, Paul F., Josephine Proposes, Napoleon Disposes O\u27Connell, John H. F., Leaves Sheridan, James J., To His Cupbearer Downing, W. J., Crashing the Golden Gate Murphy, Richard, Summer Reading O\u27Connell, John H. F., Editorial Hearn, Philip B., Residuum Murphy, John W., Exchange McDonald, James E., Chronicle McDonald, James E., Alumni Notes Dromgoole, Walter T., Athletic