$B_{p,q}$

the
book
having
$p$
pages,
$q$
vertices per page, and
$q$
vertices on the binding

$G_1 \times G_2$

the
cartesian product
of graphs
$G_1$
and
$G_2$

$\kappa(G)$

the
connectivity
of graph
$G$

$\gamma(G)$

the
cover pebbling number
the cover pebbling number of graph
$G$

$\rho(G)$

the
cover pebbling ratio
of graph
$G$

$Q^d$

the $d$dimensional
cube

$C_n$

the
cycle
on
$n$
vertices

${\rm diam}(G)$

the
diameter
of graph
$G$

${\rm dom}(G)$

the
domination number
of graph
$G$

$F_{l,m}$

the
fuse
composed of the path on
$l$
vertices with
$m$
vertices incident to one of its endpoints

${\rm girth}(G)$

the
girth
of graph
$G$

$K_{a,b}$

the
complete bipartite graph
with partite sets of size
$a$
and
$b$

$\pi^*(G)$

the
optimal pebbling number
of graph
$G$

$P_n$

the
path
on
$n$
vertices

$\pi(G)$

the
pebbling number
of graph
$G$

$S(C)$

the
support
of a configuration
$C$
on a graph
$G$

$S_n$

the
star
on
$n$
vertices

$T$

a
tree

$\gamma_w(G)$

the
weighted cover pebbling number
of graph
$G$

$\pi_{\mathbf{w}}(G)$

the
weighted pebbling number
of graph
$G$
