Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wireless Broadcast with short labelling   In this paper, we study the broadcast problem in wireless networks when the
broadcast is helped by a labelling scheme. We focus on two variants of
broadcast: broadcast without acknowledgment (i.e. the initiator of the
broadcast is not notified at the end of broadcast) and broadcast with
acknowledgment. Our contribution is threefold. First, we improve in terms of
memory complexity a recent labelling-based broadcast scheme with acknowledgment
designed for arbitrary networks.Second, we propose label optimal broadcast
algorithms in Level Separable Networks (a class of networks issued from recent
studies in Wireless Body Area Networks). In this class of networks we propose
an acknowledgment-free broadcast strategy using 1-bit labels and broadcast with
acknowledgment using 2-bits labels. In the class of level-separable networks,
our algorithms finish within 2D rounds, where D is the eccentricity of the
broadcast initiator. Interestingly, the time complexity of broadcast in the
case of level-separable networks does not depend on the size of the network but
rather on the initiator eccentricity which makes this class of graphs
interesting for further investigation. Finally, we study the hardness of
determining that a graph is level separable. Our study shows that even though
checking that a separation is a level separation can be done in polynomial
time, determining that a graph has the level separable property is NP-complete.
This result opens interesting independent research directions.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat