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Tamtam Proceedings - lamsin

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594 Hlaoui1 1 2 3 4 1 1 3 411 421 431 4412 2 1 3 4 103 203 203 2033 1 2 3 4 3 1 3 410 424 430 4404 2 4 1 3 220 300 200 200Table 2. The successor, the predecessor list and the R matrix for graph G.4. ConclusionThe adjacency list-matrix representation proposed here combines the advantages ofthe classical adjacency matrix and adjacency list representations. It codes the relationbetween two vertices in T SP format. The constant T codes the mutual relation betweentwo vertices, while constants S and P keep track of the successor and predecessor lists,respectively. This format is a compact representation and provides faster, optimal accessto the information stored. Like the adjacency matrix, the new graph representation allowssingle-step checking of the mutual relation between vertices. The list of vertices adjacentto a certain vertex is immediately accessible using the proposed representation, as in thesuccessor (resp. predecessor) list structure.5. Bibliographie[1] A. ITAI AND M RODEH., « Representation of graphs. », Acta Inform. 17 : 215-219, 1982.[2] G. TURAN., « Succint representations of graphs. », Discrete Applied Mathematics, 8 :289-294,1984.[3] V.K. BALAKRISHNAU., « Theory and problems of graph theory. », McGraw-Hill, 1997.[4] H. BUNKE, « Recent advances in structural pattern recognition with applications to visualform analysis. », C. Arcelli, L. Cordella, G. Sanniti di Baja (eds.) : Visual Form 2001, SpringerVerlag, LNCS 2059, 11-23, 2001.TAMTAM –Tunis– 2005

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