Restricted unimodular chordal graphs
UN Peled, J Wu - Journal of Graph Theory, 1999 - Wiley Online Library
… A bigraph is called restricted unimodular, or RU, if all its cycles are quad, that is to say, their
… are those chordal graphs whose vk graph is RU, and we call them RU chordal graphs. We …
… are those chordal graphs whose vk graph is RU, and we call them RU chordal graphs. We …
[HTML][HTML] Block duplicate graphs and a hierarchy of chordal graphs
MC Golumbic, UN Peled - Discrete applied mathematics, 2002 - Elsevier
… a chordal graph G is gem- and crown-free if and only if V K(G) is 3-chorded. A restricted
unimodular (RU) chordal graph is a chordal graph … unimodular. Peled and Wu [8] showed that a …
unimodular (RU) chordal graph is a chordal graph … unimodular. Peled and Wu [8] showed that a …
[PDF][PDF] Exploring Dominating Functions and Their Complexity in Subclasses of Weighted Chordal Graphs and Bipartite Graphs
CM Lee - Mathematics, 2025 - preprints.org
… This section focuses on using linear and integer linear programming for totally
unimodular matrices to solve the k-tuple domination problem for weighted proper interval …
unimodular matrices to solve the k-tuple domination problem for weighted proper interval …
The k-Domination and k-Stability Problems on Sun-Free Chordal Graphs
GJ Chang, GL Nemhauser - SIAM Journal on Algebraic Discrete Methods, 1984 - SIAM
… radius of chordal graphs. Efficient algorithms for both problems on sun-free chordal graphs
are … However, condition (P2) is unnecessarily restrictive since we only require Gk to beperfect …
are … However, condition (P2) is unnecessarily restrictive since we only require Gk to beperfect …
Algebraic orders and chordal limit algebras
AP Donsig - Proceedings of the Edinburgh Mathematical Society, 1998 - cambridge.org
… If D is a masa, then the elements of ND(A) are closely tied to matrix units; precisely, they are
sums of unimodular multiples of … Then, after possibly restricting to subsystems, we obtain a …
sums of unimodular multiples of … Then, after possibly restricting to subsystems, we obtain a …
Totally balanced and totally unimodular matrices defined by center location problems
A Tamir - Discrete applied mathematics, 1987 - Elsevier
… chordal graphs. … unimodular we apply Theorem 4.3. Let B be a submatrix of A. If B does not
contain a subrow of row w of A the result is obvious. Let B i be the submatrix of B restricted to […
contain a subrow of row w of A the result is obvious. Let B i be the submatrix of B restricted to […
Approximation results for the optimum cost chromatic partition problem
K Jansen - Journal of Algorithms, 2000 - Elsevier
… OCCP problem restricted to bipartite, chordal, comparability, … the approximability of OCCP
restricted to interval graphs. We … time for interval and even for unimodular graphs. This implies …
restricted to interval graphs. We … time for interval and even for unimodular graphs. This implies …
Approximation results for the optimum cost chromatic partition problem
K Jansen - … Programming: 24th International Colloquium, ICALP'97 …, 1997 - Springer
… for the OCCP problem restricted to bipartite and interval graphs, … [V[ ~ for both graph classes
and for unimodular graphs. Finally, … restricted to split, chordal, permutation and comparability …
and for unimodular graphs. Finally, … restricted to split, chordal, permutation and comparability …
[HTML][HTML] Generalized subgraph-restricted matchings in graphs
… One example is the family of interval graphs: these have O ( n ) minimal nontrivial cutsets,
which can be generated efficiently. But all chordal graphs have O ( n ) minimal cutsets, and …
which can be generated efficiently. But all chordal graphs have O ( n ) minimal cutsets, and …
[BOOK][B] Application of no cycle restriction to integer programming
J Jou - 1990 - search.proquest.com
… then K is totally unimodular so that the extreme points of ( x… graph G is chordal, then every
cycle of G of length greater than 3 has a chord [9]. It is easy to see that a tree is a chordal graph…
cycle of G of length greater than 3 has a chord [9]. It is easy to see that a tree is a chordal graph…
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