Graph Traversal Visualization: Tree, Cross, and Backward Edges Representation

DESCRIPTION

This document provides a detailed depiction of graph edges in traversal algorithms, specifically showing tree edges as heavy solid lines, cross edges as dotted lines, and backward edges as dashed lines. The visualization aims to clarify the relationships and pathways observed during depth-first search (DFS) on graphs, particularly when starting from vertices based on postscript labeling. Understanding these edge types is crucial for interpreting traversal algorithms and analyzing graph structures effectively.

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Dec 11, 2025

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Graph Traversal Visualization: Tree, Cross, and Backward Edges Representation

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Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
DFS on Reverse Graph Starting from the highest numbered vertex from postscript labelling on DFS on previous graph
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Tree edges are shown as heavy solid edges • Cross edges are shown as dotted edges • Backward edges are shown as dashed edges
Credits Demo/graph_alg/gw_dfs* Demo/graph_draw/gw_visrep*