# Inductive computations on graphs defined by clique-width expressions

RAIRO - Theoretical Informatics and Applications (2009)

- Volume: 43, Issue: 3, page 625-651
- ISSN: 0988-3754

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topCarrère, Frédérique. "Inductive computations on graphs defined by clique-width expressions." RAIRO - Theoretical Informatics and Applications 43.3 (2009): 625-651. <http://eudml.org/doc/250600>.

@article{Carrère2009,

abstract = {
Labelling problems for graphs consist in building distributed
data structures, making it possible to check a given graph property
or to compute a given function, the arguments of which are vertices.
For an inductively computable function D,
if G is a graph with n vertices and of clique-width at most
k, where k is fixed, we can associate with each vertex
x of G a piece of information (bit sequence) lab(x) of length
O(log2(n)) such that we can compute D in constant
time, using only the labels of its arguments.
The preprocessing can be done in time O(h.n)
where h is the height of the syntactic tree of G.
We perform an inductive computation, without using
the tools of monadic second order logic.
This enables us to give an explicit labelling scheme and to
avoid constants of exponential size.
},

author = {Carrère, Frédérique},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Terms; graphs; clique-width; labeling schemes; inductive computation.; terms; inductive computation},

language = {eng},

month = {4},

number = {3},

pages = {625-651},

publisher = {EDP Sciences},

title = {Inductive computations on graphs defined by clique-width expressions},

url = {http://eudml.org/doc/250600},

volume = {43},

year = {2009},

}

TY - JOUR

AU - Carrère, Frédérique

TI - Inductive computations on graphs defined by clique-width expressions

JO - RAIRO - Theoretical Informatics and Applications

DA - 2009/4//

PB - EDP Sciences

VL - 43

IS - 3

SP - 625

EP - 651

AB -
Labelling problems for graphs consist in building distributed
data structures, making it possible to check a given graph property
or to compute a given function, the arguments of which are vertices.
For an inductively computable function D,
if G is a graph with n vertices and of clique-width at most
k, where k is fixed, we can associate with each vertex
x of G a piece of information (bit sequence) lab(x) of length
O(log2(n)) such that we can compute D in constant
time, using only the labels of its arguments.
The preprocessing can be done in time O(h.n)
where h is the height of the syntactic tree of G.
We perform an inductive computation, without using
the tools of monadic second order logic.
This enables us to give an explicit labelling scheme and to
avoid constants of exponential size.

LA - eng

KW - Terms; graphs; clique-width; labeling schemes; inductive computation.; terms; inductive computation

UR - http://eudml.org/doc/250600

ER -

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