1. CMB 2011 (vol 56 pp. 265)
 Chen, Yichao; Mansour, Toufik; Zou, Qian

Embedding Distributions of Generalized Fan Graphs
Total embedding distributions have been known for a few classes of graphs.
Chen, Gross, and Rieper
computed it for necklaces, closeend ladders and cobblestone
paths. Kwak and Shim computed it for bouquets of circles and
dipoles. In this paper, a splitting theorem is generalized
and the embedding distributions of
generalized fan graphs are obtained.
Keywords:total embedding distribution, splitting theorem, generalized fan graphs Category:05C10 

2. CMB 2008 (vol 51 pp. 535)
3. CMB 2001 (vol 44 pp. 370)
 Weston, Anthony

On Locating Isometric $\ell_{1}^{(n)}$
Motivated by a question of Per Enflo, we develop a hypercube criterion
for locating linear isometric copies of $\lone$ in an arbitrary real
normed space $X$.
The said criterion involves finding $2^{n}$ points in $X$ that satisfy
one metric equality. This contrasts nicely to the standard classical
criterion wherein one seeks $n$ points that satisfy $2^{n1}$ metric
equalities.
Keywords:normed spaces, hypercubes Categories:46B04, 05C10, 05B99 

4. CMB 2000 (vol 43 pp. 108)
 Sanders, Daniel P.; Zhao, Yue

On the Entire Coloring Conjecture
The Four Color Theorem says that the faces (or vertices) of a plane
graph may be colored with four colors. Vizing's Theorem says that the
edges of a graph with maximum degree $\Delta$ may be colored with
$\Delta+1$ colors. In 1972, Kronk and Mitchem conjectured that the
vertices, edges, and faces of a plane graph may be simultaneously
colored with $\Delta+4$ colors. In this article, we give a simple
proof that the conjecture is true if $\Delta \geq 6$.
Categories:05C15, 05C10 
