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» Isomorphism for Graphs of Bounded Feedback Vertex Set Number
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TCS
2010
13 years 2 months ago
An optimal algorithm to generate rooted trivalent diagrams and rooted triangular maps
Abstract. A trivalent diagram is a connected, two-colored bipartite graph (parallel edges allowed but not loops) such that every black vertex is of degree 1 or 3 and every white ve...
Samuel Alexandre Vidal
DM
2008
177views more  DM 2008»
13 years 8 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
CORR
2011
Springer
205views Education» more  CORR 2011»
12 years 11 months ago
Algorithms for Implicit Hitting Set Problems
A hitting set for a collection of sets is a set that has a nonempty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum card...
Karthekeyan Chandrasekaran, Richard Karp, Erick Mo...
DM
2010
128views more  DM 2010»
13 years 8 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
ICALP
2009
Springer
14 years 8 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh