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In his oral presentation at the meeting Hgggkvist mentioned the special case of 'every 3-regular bipartite graph on 2n vertices' as unsolved, but maybe provable. Problem 13 (Bill Jackson). ... Problem 14 (Francois Jaeger). Petersen-colouring About ten years ago the following problem was posed. Let G be a cubic graph and P the Petersen graph. ... If maximal cliques are removed one by one from any n vertex graph, then the graph will be empty after the sum of the numbers of vertices in the cliques has reached at most n2/2. ...doi:10.1016/0012-365x(92)90616-n fatcat:gsuhwm6xu5b2vckb7kvjnjh2ci
In “Unsolved problems presented at the Julius Petersen Graph Theory Conference” [J. Bang-Jensen and B. ... after at most n? ...
at that period is closely linked to the work of two mathematicians, Hieronymus Georg Zeuthen and Julius Petersen. ... By inclination Petersen was a geometer, but he was at ease in a wide range of topics: function theory, number theory, mathematical physics, mathematical economics, cryptography and-in the end-graph theory ...doi:10.1016/0012-365x(92)90636-t fatcat:b5dncfdzljfopeifxxrge72q54
In this article we survey some important milestones in the history of edge-colorings of graphs, from the earliest contributions of Peter Guthrie Tait and Dénes König to very recent work. ... However, it has no 3-edge-coloring, as Julius Petersen explained when he presented it in 1898  . For, suppose that there are just three colors, 1, 2, 3. ... Seymour also presented the conjecture at a conference in Waterloo in 1977 and it was published in its proceedings two years later  . ...doi:10.47443/dml.2021.s105 fatcat:rcphxpoejvef5hty27uol6eegq
Therefore, it seems worthwhile to the author to take the opportunity to inform the graph theoretic community about some facts which appear to be not so well known. 0012-365X/94/$07.00 (0 1994-Elsevier ... The key result, however, though found already in 1935, was almost forgotten and its original proof remained unnoticed until very recently. ... Acknowledgements The ...doi:10.1016/0012-365x(93)e0068-f fatcat:liwqo6i5azak5hqalfprtg7ypq
IP 05B40 Packing and covering [See also 10E30, 52A45.] 05B45 Tessellation and tiling problems 05B99 None of the above, but in this section 05Cxx Graph theory ¡For applications of graphs, see ... above, but in this Difficult to classify at the second level (must also be assigned at least one other classification number in this section) 94A20 Circuits, networks; applications of graph theory and ...doi:10.1090/s0002-9939-71-99972-2 fatcat:fh3qmht755dope6cfo3csgim2i
graph, sometimes called the Petersen graph (named after the Danish mathematician Julius Petersen(1839-1910)). ... , unsolved problems for twentieth-century mathematics. ... of language, graph theory for the social network analyst. ...doi:10.13014/k2d21vhx fatcat:uq6xn4pssfhhlmzygycheldp6q
At the beginning of the twentieth century European interest in graph theory, and to some extent the four-colour problem, began to wane. ... To place the story of these scholars within the history of mathematics, America, and graph theory, brief accounts are presented of the early years of graph theory, the early years of mathematics and graph ... Julius Petersen, 'Die Theorie der reguHiren Graphs', Acta Mathematica 15 (1891), 193-220. 23. ...doi:10.21954/ou.ro.0000d587 fatcat:6oabm3wdw5bvbctrtgghvnq7wu
They demonstrate, at any rate, that the precise relationship between the sex chromatin and chromo- somes is an unsolved problem that challenges the resources of cytologists. ... , to be presented at the Chicago meeting, are given here. ...doi:10.1126/science.130.3385.1302-a pmid:17753088 fatcat:ugadgsi2hvhw3hhnckkkgeascm
Petersen, Svend. “Splendid Days and Fearsome Nights.” Mark Twain Quart., vi. 3-8, 15. [Chronological impossibilities in the novels.] Slater, Joseph. ‘““Music at Col. ... ‘Julius Caesar at the Folger Shakespeare Library.”” SAB, xxv. 112-116. —— “The Suicide of Antony in Antony and Cleopatra, Act tv, Scene xiv.” SAB, xxtv. 193- 202. ...doi:10.1632/s0030812900026031 fatcat:26ij73os2bft3jrkto7ex3cmlm
Hard facing of solid large-diameter shafts presents some unsolved problems because of differential cooling of the exterior and center. ... Hollow tubes present no problems due to rapid cooling of the interior. ...doi:10.1111/j.1151-2916.1938.tb15752.x fatcat:pvdmtllanvcj3mwignjfhoaydi
This is an English translation of Reidemeister's book "Einf\"uhrung in die kombinatorische Topologie" from 1932, the first monograph on combinatorial group theory and topology, with some added comments ... by the translator and Warren Dicks. ... Their work also established the unsolvability of the problems next mentioned by Reidemeister: deciding whether a given finitely-presented group is free, or trivial. ...arXiv:1402.3906v1 fatcat:smqh2stb5vdjrgvha4lsjam57u
The authors and the publisher of this volumehave taken care that the information and recommendations contained hereinare accurate and compatible with the standards generally accepted at the time of publication ... The publisher disclaims any liability,l oss, or damagei ncurred as ac onsequence, directly or indirectly,ofthe use and application of any of the contents of this volume. ............................ ... We present preliminary results from protocol analysis and discuss the relative merit of three theoretical frameworks for analysis and theory formation: Classical problem space theory based on Newell & ...doi:10.23668/psycharchives.874 fatcat:7fvyxuqu25ckxdvseantp44u4m
It partially supplements the Bibliography on Land Settlement and the Bibliography on Land Utilization, issued by the United States Department of Agriculture in 1934 and 1938, as Miscellaneous Publication ... This bibliography contains selected references on land settlement for the years 1933-1943 and a part of 1944. ... SkS, MORITZSN, JULIUS. Refugee-farmers at Sosua. U. S. Off. Foreign Agr. Relat. ...doi:10.22004/ag.econ.317813 fatcat:ne2jlowvn5ffllki6vcurrm7ua