Titlebook: ;

FLOUR

Ulam Numbers of Graphs,.. = {.., .., …, ..} of .., having the properties for all 1 ≤ . ≤ ., (1) |..| = |..| and (2) the subgraph .[..] induced by .. is isomorphic to the subgraph .[..] induced by ... In this note we generalize this concept, first introduced in 1979 by Chung et al. in Congr Numer 23:3–18, 1979.

LAY

Some of My Favourite Conjectures: Local Conditions Implying Global Cycle Properties,century. The town was spanned by seven bridges passing over the river Pregel and connecting the four land masses on which Königsberg was built. The townsfolk amused themselves by taking walks through Königsberg, attempting to cross each of the seven bridges exactly once. In 1736 Euler put an end to

FLACK

The Path Partition Conjecture,. vertices, then there exists a partition (., .) of the vertex set of . such that . has no path with more than . vertices, and . has no path with more than . vertices. We present a brief history of the PPC, discuss its relation to other conjectures and examine results supporting the PPC that have ap

有节制

同时发生

My Favorite Domination Game Conjectures, Staller, with conflicting goals collaboratively produce a dominating set in an underlying host graph. The players take turns choosing a vertex from the graph, where each vertex chosen must dominate at least one vertex not dominated by the set of vertices previously chosen. The game ends when there

CODE

,A De Bruijn-Erdős Theorem in Graphs?,ther the same statement holds true in general metric spaces, where the line determined by points . and . is defined as the set consisting of ., ., and all points . such that one of the three points ., ., . lies between the other two. The conjecture that it does hold true remains unresolved even in t

愉快吗

An Annotated Glossary of Graph Theory Parameters, with Conjectures,the authors who introduced them. Let . = (., .) be an undirected graph having . . = |. | vertices and . . = |.| edges. Two graphs . and . are ., denoted . ≃ ., if there exists a bijection . : . (.) → . (.) such that two vertices . and . are adjacent in . if and only if the two vertices .(.) and .(.)

中国纪念碑

Spinal-Tap

https://doi.org/10.1007/978-94-011-9714-40 an .(.) algorithm was found for constructing a diagonal matrix congruent to . + .., ., enabling one to easily count the number of eigenvalues in any interval. A variation of the algorithm allows Laplacian eigenvalues in trees to be counted. We conjecture that for any tree . of order . ≥ 2, at leas

Omniscient

https://doi.org/10.1007/978-3-642-68463-0in the U.S. Launched in 1970, it was originally held in alternate years at Louisiana State University in Baton Rouge, LA and at Florida Atlantic University (FAU) in Boca Raton, FL. However, it is now held exclusively each year at FAU under the dedicated leadership of the redoubtable Fred Hoffman. (I